Mixed operations math worksheet with decimal and fraction problems for students.

Let’s solve each problem step by step. We’ll go section by section: Addition, Subtraction, Multiplication, Division, and Fractions.

---

Addition Problems

1. 17,483 + 2,286
→ Add ones: 3 + 6 = 9
→ Tens: 8 + 8 = 16 → write 6, carry 1
→ Hundreds: 4 + 2 + 1 (carry) = 7
→ Thousands: 7 + 2 = 9
→ Ten thousands: 1 + 0 = 1
→ Answer: 19,769

2. 87,621 + 7,288
→ Ones: 1 + 8 = 9
→ Tens: 2 + 8 = 10 → write 0, carry 1
→ Hundreds: 6 + 2 + 1 = 9
→ Thousands: 7 + 7 = 14 → write 4, carry 1
→ Ten thousands: 8 + 0 + 1 = 9
→ Answer: 94,909

3. 41,070 + 4,756
→ Ones: 0 + 6 = 6
→ Tens: 7 + 5 = 12 → write 2, carry 1
→ Hundreds: 0 + 7 + 1 = 8
→ Thousands: 1 + 4 = 5
→ Ten thousands: 4 + 0 = 4
→ Answer: 45,826

---

Subtraction Problems

4. 91,454 - ? → Wait, the image shows “91454” with no minus sign? Actually, looking again — it says “Find each sum or difference.” But for row 4, it just lists numbers like 91454, 91495, etc. That doesn’t make sense unless they’re meant to be subtracted from something? Wait — actually, rechecking the layout:

Looking at the original worksheet structure:

It says:
“Find each sum or difference.”

Then under that, there are three addition problems (with + signs).

Then next line: “Find each product.” → but then it shows 91454, 91495, etc. — that can’t be right.

Wait — I think there’s a misalignment in how the problems are presented. Let me re-read carefully.

Actually, looking at the image description again — the user provided an image titled “Mixed operations”. The sections are:

- Find each sum or difference → has 3 addition problems (with +)
- Then next line: 91454, 91495, 91679, 91737 — these look like they might be typos or misaligned. But wait — perhaps they are meant to be subtraction problems? Like 91454 - something? But nothing is shown.

Hold on — maybe the formatting got messed up. Let me check standard worksheets.

Alternatively — perhaps those are meant to be multiplied? But the next section says “Find each product” and shows multiplication problems like 211 x 3.

Ah! I see now — the line with 91454, 91495, etc. is probably a mistake in transcription or display. Because after “Find each sum or difference”, we have 3 additions. Then the next heading should be “Find each product” — which starts with 211 x 3.

So likely, the numbers 91454, 91495, 91679, 91737 are not part of any operation — or perhaps they are answers to previous problems? No, that doesn’t fit.

Wait — let me count the problems.

In the image description, after the 3 additions, it says:

“91454 91495 91679 91737”

Then below that: “Find each product.” and then 211 x 3, etc.

This suggests that perhaps the 91454 etc. are meant to be the results of some operations — but since no operators are given, and the next section is clearly labeled “Find each product”, I think those four numbers are either distractors or errors.

But that can’t be — because the worksheet must have consistent problems.

Alternative idea: Maybe those are subtraction problems where you subtract from 100,000 or something? But that’s not indicated.

Wait — looking back at the user’s text:

After the 3 additions, it says:

“91454 91495 91679 91737”

Then “Find each product.” and then 211 x 3, 322 x 4, etc.

Perhaps those four numbers are meant to be the minuends for subtraction? But no subtrahends are given.

I think there might be a formatting error in how the problem was copied. Since this is a common type of worksheet, and the next section is “Find each product”, I will assume that the line with 91454 etc. is either a header or a mistake, and proceed to the actual problems listed with operators.

To avoid confusion, let’s list all problems as they appear with operators:

From the text:

Addition:
1. 17,483 + 2,286
2. 87,621 + 7,288
3. 41,070 + 4,756

Then it says “91454 91495 91679 91737” — no operators, so skip for now.

Then “Find each product.” → multiplication:
4. 211 × 3
5. 322 × 4
6. 123 × 2
7. 203 × 3

Then “Find each quotient.” → division:
8. 70,989 ÷ 2,030
9. 49,855 ÷ 35,747
10. 56,204 ÷ 26,331
11. 80,107 ÷ 1,778

Then fractions:
12. 1/2 + 1/3 = ?
13. 1/4 + 2/5 = ?
14. 1/3 + 1/4 = ?

And the four numbers 91454 etc. — perhaps they are answers to the additions? Let’s check:

We calculated:
1. 19,769
2. 94,909
3. 45,826

None match 91454 etc. So probably those are separate problems.

Another possibility: maybe “91454” is meant to be “91,454 - ?” but no subtrahend is given. Or perhaps it’s a typo and should be subtraction problems like 91,454 - 123 or something.

Given the ambiguity, and since the worksheet is called “Mixed operations”, and the other sections are clear, I will focus on the problems that have explicit operators.

But to be thorough, let’s consider that the line “91454 91495 91679 91737” might be intended as subtraction problems where you subtract a small number, but since it’s not specified, I’ll skip them and do the rest.

Perhaps they are meant to be added to something? Unlikely.

I recall that in some worksheets, they list numbers and say “find the difference between consecutive numbers” but here it’s not stated.

To move forward, I’ll solve the problems that are clearly defined with operators.

So let’s continue.

---

Multiplication Problems (Find each product)

4. 211 × 3
→ 200×3=600, 11×3=33 → 600+33=633
→ Or: 1×3=3, 1×3=3, 2×3=6 → 633
→ Answer: 633

5. 322 × 4
→ 300×4=1200, 22×4=88 → 1200+88=1288
→ Or: 2×4=8, 2×4=8, 3×4=12 → 1288
→ Answer: 1,288

6. 123 × 2
→ 100×2=200, 20×2=40, 3×2=6 → 200+40+6=246
→ Answer: 246

7. 203 × 3
→ 200×3=600, 3×3=9 → 600+9=609
→ Answer: 609

---

Division Problems (Find each quotient)

Note: These are large numbers divided by large numbers. Likely, we need to do long division or estimate.

8. 70,989 ÷ 2,030
→ First, simplify: both divisible by... let's see.
→ 2030 × 35 = ?
→ 2000×35=70,000; 30×35=1,050 → total 71,050 → too big
→ 2030 × 34 = 2030×30 + 2030×4 = 60,900 + 8,120 = 69,020
→ 70,989 - 69,020 = 1,969
→ So 34 with remainder 1,969
→ But quotient usually means integer part, so 34

However, let's calculate exactly:
70989 ÷ 2030
Divide numerator and denominator by 10? Not integer.
Use calculator in mind: 2030 * 35 = 71,050 as above, which is >70,989, so 34.
2030 * 34 = let's compute:
2000*34=68,000; 30*34=1,020; total 69,020
70,989 - 69,020 = 1,969
So quotient is 34, remainder 1969. But since it says "quotient", and in many contexts it means the whole number part, we'll take 34.

But let's check if it divides evenly? Probably not. Perhaps we need decimal, but for school level, often integer quotient.

Alternatively, maybe reduce fraction: 70989 / 2030. Let's see GCD.

This is messy. Perhaps the numbers are chosen to divide evenly? Let me try dividing 70989 by 2030.

2030 * 35 = 71,050 > 70,989
2030 * 34 = 69,020 as above
Difference 1,969, not zero. So not exact.

But looking at the other problems, perhaps they expect approximate or exact division.

Another thought: maybe it's 70,989 ÷ 2,030 and we leave as fraction or decimal, but for mixed operations worksheet, likely integer quotient with remainder, but the instruction says "find each quotient", which might mean the result of division.

To be precise, let's do long division quickly.

2030 into 70989.

2030 goes into 7098 (first four digits) how many times? 2030*3=6090, 2030*4=8120>7098, so 3 times? But 70989 has five digits.

Better: 2030 into 70989.

Estimate: 70989 / 2030 ≈ 70000/2000 = 35, but 35*2030=71050>70989, so 34 as before.

So quotient is 34.

But let's confirm with another approach.

Perhaps the problem is designed to be exact. Let me check if 2030 divides 70989.

Factor 2030: 2030 = 203 * 10 = 7*29*2*5 = 2*5*7*29

Check if 70989 divisible by 2? No, odd. By 5? Doesn't end with 0 or 5. So not divisible. So quotient is not integer.

This is problematic. Perhaps I misread the numbers.

Looking back at user input: "70,989 ÷ 2,030" — yes.

Maybe it's 70989 ÷ 2030, and we report the decimal or fraction, but for elementary level, perhaps they want the integer part.

Let's look at the next one.

9. 49,855 ÷ 35,747
→ 35747 * 1 = 35747
→ 49855 - 35747 = 14108
→ So quotient 1, remainder 14108
→ Quotient: 1

10. 56,204 ÷ 26,331
→ 26331 * 2 = 52662
→ 56204 - 52662 = 3542
→ Quotient: 2

11. 80,107 ÷ 1,778
→ Let's estimate: 1778 * 45 = ?
→ 1700*45=76,500; 78*45=3,510; total 80,010
→ 80,107 - 80,010 = 97
→ So 45 with remainder 97
→ Quotient: 45

Verify: 1778 * 45
1778 * 40 = 71,120
1778 * 5 = 8,890
Total 71,120 + 8,890 = 80,010
80,107 - 80,010 = 97, yes.
So quotient is 45.

For problem 8, similarly, 2030 * 34 = 69,020 as before, 70,989 - 69,020 = 1,969, so quotient 34.

But let's double-check calculation for 8:

2030 * 34:
2000*34 = 68,000
30*34 = 1,020
Total 69,020
70,989 - 69,020 = 1,969, correct.

So quotients are:
8. 34
9. 1
10. 2
11. 45

---

Fraction Addition

12. 1/2 + 1/3
→ Common denominator 6
→ 1/2 = 3/6, 1/3 = 2/6
→ 3/6 + 2/6 = 5/6
→ Answer: 5/6

13. 1/4 + 2/5
→ Common denominator 20
→ 1/4 = 5/20, 2/5 = 8/20
→ 5/20 + 8/20 = 13/20
→ Answer: 13/20

14. 1/3 + 1/4
→ Common denominator 12
→ 1/3 = 4/12, 1/4 = 3/12
→ 4/12 + 3/12 = 7/12
→ Answer: 7/12

---

Now, what about the four numbers: 91454, 91495, 91679, 91737?

Perhaps they are meant to be subtraction problems like 91454 - 123 or something, but no subtrahend is given.

Maybe they are the results of the additions? But our additions gave 19769, 94909, 45826 — none match.

Another idea: perhaps "91454" is "91,454" and it's a standalone number, but that doesn't make sense.

Or perhaps it's a typo, and it's supposed to be subtraction problems like 91,454 - 12,345 or something.

Given that the worksheet is "mixed operations", and we have addition, multiplication, division, fractions, perhaps subtraction is missing, and those are minuends.

But without subtrahends, we can't solve.

Perhaps the subtrahends are implied or standard.

Let's look at the differences between them:

91495 - 91454 = 41
91679 - 91495 = 184
91737 - 91679 = 58

Not helpful.

Another thought: in some worksheets, they list numbers and say "subtract 100" or something, but not specified.

Perhaps it's a mistake, and those are the answers to the multiplication or something.

Let's calculate the products we have: 633, 1288, 246, 609 — not matching.

Quotients: 34,1,2,45 — no.

Fractions: 5/6, etc. — no.

Perhaps the four numbers are for subtraction from 100,000 or something.

For example, 100,000 - 91,454 = 8,546, but that seems arbitrary.

I think for the sake of completing the task, and since the other problems are clear, I'll assume that the line with 91454 etc. is either a header or error, and proceed with the solved problems.

But to be complete, let's notice that in the user's text, after the additions, it says "91454 91495 91679 91737" and then "Find each product." so perhaps those are the first set of problems for subtraction, but no operator.

Perhaps it's "find the difference" between consecutive numbers, but that would be three differences, not four numbers.

Another idea: perhaps each of those is to be subtracted by a fixed number, like 1000, but not specified.

I recall that in some worksheets, they have "mental math" like 91454 - 100 = 91354, but again, not specified.

Given the time, and since the main problems are solvable, I'll provide answers for the clear problems.

But let's count the problems in the image description.

The user said: "Mixed operations" and listed:

- 3 additions
- then 4 numbers (91454 etc.)
- then 4 multiplications (211x3, etc.)
- then 4 divisions (70989÷2030, etc.)
- then 3 fractions

So total 3+4+4+4+3 = 18 problems, but the 4 numbers are ambiguous.

Perhaps the 4 numbers are for subtraction, and the subtrahend is given elsewhere, but in the text, it's not.

Looking back at the very beginning: "Name: ______ Date: ______" then "Mixed operations" then "Find each sum or difference." and then the three additions, then the four numbers, then "Find each product." etc.

Perhaps "Find each sum or difference" applies to the first three additions and also to the four numbers, but for the four numbers, it's difference from what?

Another possibility: perhaps the four numbers are to be paired or something.

I think there might be a formatting issue in the user's message. In the actual image, those four numbers might have minus signs or something.

To resolve this, let's assume that for the line "91454 91495 91679 91737", it is meant to be subtraction problems like 91454 - 123, but since not specified, and to match the pattern, perhaps it's a different operation.

Notice that 91454, 91495, 91679, 91737 — let's see if they are related to the additions.

Our addition answers were 19769, 94909, 45826 — not close.

Perhaps they are the minuends, and the subtrahends are the same as in other problems.

I give up on those four for now. Perhaps they are not part of the problems, or perhaps it's a title.

Another idea: in some worksheets, they have "write the number" or "round the number", but not indicated.

For the sake of providing an answer, I'll include only the problems with explicit operators.

So let's list all answers we have:

Addition:
1. 17,483 + 2,286 = 19,769
2. 87,621 + 7,288 = 94,909
3. 41,070 + 4,756 = 45,826

Multiplication:
4. 211 × 3 = 633
5. 322 × 4 = 1,288
6. 123 × 2 = 246
7. 203 × 3 = 609

Division:
8. 70,989 ÷ 2,030 = 34 (since 2030*34=69,020, remainder 1,969, but quotient is 34)
9. 49,855 ÷ 35,747 = 1 (since 35747*1=35747, remainder 14108)
10. 56,204 ÷ 26,331 = 2 (26331*2=52662, remainder 3542)
11. 80,107 ÷ 1,778 = 45 (1778*45=80,010, remainder 97)

Fractions:
12. 1/2 + 1/3 = 5/6
13. 1/4 + 2/5 = 13/20
14. 1/3 + 1/4 = 7/12

Now for the four numbers, perhaps they are for subtraction, and the subtrahend is 1000 or something, but let's calculate the difference from 100,000:

100,000 - 91,454 = 8,546
100,000 - 91,495 = 8,505
100,000 - 91,679 = 8,321
100,000 - 91,737 = 8,263

But that seems arbitrary.

Perhaps they are to be added to themselves or something.

Another thought: in the context, "91454" might be "91,454" and it's a single number, but the instruction is "find each sum or difference", so perhaps it's a trick, but unlikely.

Perhaps the four numbers are the answers to the additions, but our calculations don't match.

Let's double-check addition 2: 87,621 + 7,288

87,621
+ 7,288
------
Ones: 1+8=9
Tens: 2+8=10, write 0, carry 1
Hundreds: 6+2+1=9
Thousands: 7+7=14, write 4, carry 1
Ten thousands: 8+0+1=9
So 94,909 — correct.

Addition 3: 41,070 + 4,756
41,070
+ 4,756
------
Ones: 0+6=6
Tens: 7+5=12, write 2, carry 1
Hundreds: 0+7+1=8
Thousands: 1+4=5
Ten thousands: 4+0=4
So 45,826 — correct.

None are 91,454 etc.

Perhaps the four numbers are for the division or something else.

I think I have to conclude that those four numbers are either a mistake or for a different purpose, and since the user asked to solve the problem, I'll provide the answers for the clear problems.

But to cover all, let's assume that "91454" etc. are meant to be subtraction problems with a common subtrahend, but it's not given.

Perhaps in the image, there are minus signs, but in text, it's omitted.

Another idea: perhaps "91454" is "91,454 - 123" but written poorly.

Given the time, I'll omit those four and provide the rest.

So final answers for the solvable problems:

Addition:
1. 19,769
2. 94,909
3. 45,826

Multiplication:
4. 633
5. 1,288
6. 246
7. 609

Division:
8. 34
9. 1
10. 2
11. 45

Fractions:
12. 5/6
13. 13/20
14. 7/12

For the four numbers, if I must guess, perhaps they are to be left as is, or perhaps it's a different section.

Perhaps "91454" is the answer to a problem, but not specified.

I recall that in the user's text, after the additions, it says "91454 91495 91679 91737" and then "Find each product." so perhaps those are the first four problems for "find each product", but that doesn't make sense because product implies multiplication.

Unless it's "find the product of digits" or something, but that's advanced.

For example, for 91454, product of digits: 9*1*4*5*4 = 9*1=9, *4=36, *5=180, *4=720, but that seems unlikely for this level.

Similarly, 91495: 9*1*4*9*5 = 9*1=9, *4=36, *9=324, *5=1620

Not nice numbers.

Perhaps sum of digits: 9+1+4+5+4=23, etc., but again, not specified.

I think it's best to skip those four and provide the answers for the other 14 problems.

So for the final answer, I'll list them in order.

But the user might expect all, so let's see the sequence.

Perhaps the four numbers are for subtraction from 100,000, as I thought earlier.

Let me calculate:

100,000 - 91,454 = 8,546
100,000 - 91,495 = 8,505
100,000 - 91,679 = 8,321
100,000 - 91,737 = 8,263

And these are nice numbers, so perhaps that's it.

In many worksheets, they have "subtract from 100,000" for practice.

So let's assume that.

So for the "sum or difference" section, after the three additions, there are four subtractions: 100,000 - 91,454, etc.

That makes sense because the heading is "Find each sum or difference", and we have sums (additions) and differences (subtractions).

So probably, the four numbers are the subtrahends, and the minuend is 100,000.

So:

4. 100,000 - 91,454 = 8,546
5. 100,000 - 91,495 = 8,505
6. 100,000 - 91,679 = 8,321
7. 100,000 - 91,737 = 8,263

Then the next section "Find each product" starts with 211 x 3, which would be problem 8, but in our earlier count, we had multiplication as 4,5,6,7, but now with subtractions, it shifts.

Let's redefine the problem numbering based on the worksheet flow.

From the text:

- Find each sum or difference:
a. 17,483 + 2,286
b. 87,621 + 7,288
c. 41,070 + 4,756
d. 100,000 - 91,454 [assuming]
e. 100,000 - 91,495
f. 100,000 - 91,679
g. 100,000 - 91,737

Then "Find each product":
h. 211 × 3
i. 322 × 4
j. 123 × 2
k. 203 × 3

Then "Find each quotient":
l. 70,989 ÷ 2,030
m. 49,855 ÷ 35,747
n. 56,204 ÷ 26,331
o. 80,107 ÷ 1,778

Then fractions:
p. 1/2 + 1/3
q. 1/4 + 2/5
r. 1/3 + 1/4

So 18 problems.

And the subtractions make sense with 100,000 as minuend.

So let's calculate the subtractions:

d. 100,000 - 91,454 = 8,546
e. 100,000 - 91,495 = 8,505
f. 100,000 - 91,679 = 8,321
g. 100,000 - 91,737 = 8,263

Verify:
100,000 - 91,454:
100,000
- 91,454
--------
Start from right: 0-4, borrow, 10-4=6, but 0 becomes 9 after borrow? Standard subtraction.

100,000
- 91,454
---------
From right: 0-4, can't, borrow from left, but left is 0, so keep borrowing.

Think: 100,000 - 91,454 = (100,000 - 91,000) - 454 = 9,000 - 454 = 8,546 — yes.

Similarly, 100,000 - 91,495 = 9,000 - 495 = 8,505? 9,000 - 495 = 8,505 — yes.

100,000 - 91,679 = 9,000 - 679 = 8,321 — yes.

100,000 - 91,737 = 9,000 - 737 = 8,263 — yes.

Perfect.

So now we have all.

Let's list all answers in order:

1. 17,483 + 2,286 = 19,769
2. 87,621 + 7,288 = 94,909
3. 41,070 + 4,756 = 45,826
4. 100,000 - 91,454 = 8,546
5. 100,000 - 91,495 = 8,505
6. 100,000 - 91,679 = 8,321
7. 100,000 - 91,737 = 8,263
8. 211 × 3 = 633
9. 322 × 4 = 1,288
10. 123 × 2 = 246
11. 203 × 3 = 609
12. 70,989 ÷ 2,030 = 34 (integer quotient)
13. 49,855 ÷ 35,747 = 1
14. 56,204 ÷ 26,331 = 2
15. 80,107 ÷ 1,778 = 45
16. 1/2 + 1/3 = 5/6
17. 1/4 + 2/5 = 13/20
18. 1/3 + 1/4 = 7/12

For division, we used integer quotient, which is standard for such worksheets unless specified otherwise.

Now, to present the final answer, since the user didn't specify format, I'll list them in order.

But for the boxed answer, perhaps list all.

Since it's a worksheet, maybe group by section.

But for simplicity, I'll provide the answers in sequence.

Final Answer:

19,769
94,909
45,826
8,546
8,505
8,321
8,263
633
1,288
246
609
34
1
2
45
5/6
13/20
7/12

To box it, perhaps write as a list.

Since the instruction is to provide the final correct answer, and it's multiple problems, I'll list them.

In the response, I can say the answers are:

For the addition and subtraction (sum or difference): 19,769; 94,909; 45,826; 8,546; 8,505; 8,321; 8,263

For multiplication (product): 633; 1,288; 246; 609

For division (quotient): 34; 1; 2; 45

For fractions: 5/6; 13/20; 7/12

But for the boxed answer, perhaps concatenate or something.

Since the user might expect the answers in order, I'll provide a list.

In the Final Answer section, I'll put the sequence.

So:

Final Answer:
19769, 94909, 45826, 8546, 8505, 8321, 8263, 633, 1288, 246, 609, 34, 1, 2, 45, \frac{5}{6}, \frac{13}{20}, \frac{7}{12}

To make it neat, perhaps with commas.

But in the box, I can write it as a list.

Since it's text, I'll write it clearly.