Class 4 Math Worksheets Part 2 -CBSE/ICSE : UpToSchoolWorksheets ... - Free Printable
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Step-by-step solution for: Class 4 Math Worksheets Part 2 -CBSE/ICSE : UpToSchoolWorksheets ...
It looks like you've uploaded a worksheet titled "Fractions - Long Worksheet -15" from UpToSchoolWorksheets, which includes three main sections:
1. Color the like fractions (with a hat)
2. Write the following as fractions
3. Write the following as division facts
Let's go through each section step by step and solve the problems.
---
There are 6 snowmen, each with a fraction written on their hat:
- ① $ \frac{3}{4} $
- ② $ \frac{7}{8} $
- ③ $ \frac{500}{1000} $
- ④ $ \frac{912}{1000} $
- ⑤ $ \frac{20}{10} $
- ⑥ $ \frac{13}{13} $
We need to identify like fractions — these are fractions that are equal in value (equivalent), even if they look different.
Let’s simplify each one:
1. $ \frac{3}{4} $ → already simplified
2. $ \frac{7}{8} $ → already simplified
3. $ \frac{500}{1000} = \frac{1}{2} $
4. $ \frac{912}{1000} = \frac{114}{125} $ (simplified) → not equal to others
5. $ \frac{20}{10} = 2 $
6. $ \frac{13}{13} = 1 $
So:
- $ \frac{3}{4} $ → 0.75
- $ \frac{7}{8} $ → 0.875
- $ \frac{500}{1000} $ → 0.5
- $ \frac{912}{1000} $ → 0.912
- $ \frac{20}{10} $ → 2
- $ \frac{13}{13} $ → 1
None of them are exactly equal to each other except possibly if some were meant to be equivalent.
Wait — let's check again:
Is any pair equivalent?
- $ \frac{500}{1000} = \frac{1}{2} $
- $ \frac{20}{10} = 2 $
- $ \frac{13}{13} = 1 $
But none of the others match.
Wait — perhaps there is a mistake? Let's recheck:
Maybe the instruction is to color fractions that are equivalent to each other, but here, no two are equal.
Alternatively, maybe the task is to color all fractions that are equal to a given number, but no such instruction is given.
Possibility: The instruction says “like fractions” — this usually means fractions with the same denominator, but here, denominators are all different.
But "like fractions" can also mean equivalent fractions.
But in this case, none are equivalent.
Wait — look at:
- $ \frac{500}{1000} = \frac{1}{2} $
- Is there another $ \frac{1}{2} $? No.
- $ \frac{13}{13} = 1 $
- $ \frac{20}{10} = 2 $
No matches.
But wait — perhaps the question is asking to color fractions that are equal to each other, and since none are equal, then none should be colored?
That seems odd.
Alternatively, maybe it's a visual task — perhaps the hats have numbers, and students are supposed to group or color those that are equivalent.
But based on values:
- $ \frac{3}{4} = 0.75 $
- $ \frac{7}{8} = 0.875 $
- $ \frac{500}{1000} = 0.5 $
- $ \frac{912}{1000} = 0.912 $
- $ \frac{20}{10} = 2 $
- $ \frac{13}{13} = 1 $
All are different.
So unless there’s a typo, there are no like fractions among them.
But let’s suppose the intention was to color fractions that are equal to whole numbers or simple fractions.
For example:
- $ \frac{20}{10} = 2 $ → whole number
- $ \frac{13}{13} = 1 $ → whole number
- $ \frac{500}{1000} = \frac{1}{2} $
But still, no pairs.
Wait — could $ \frac{500}{1000} $ and $ \frac{1}{2} $ be considered like? But $ \frac{1}{2} $ isn't listed.
So unless there's a typo, no two fractions are equivalent, so no coloring needed.
But this seems unlikely for a worksheet.
Alternative interpretation: Perhaps "like fractions" means fractions with the same numerator or denominator, but again, none share numerators or denominators.
Wait — $ \frac{500}{1000} $ and $ \frac{912}{1000} $ both have denominator 1000 — so they are like fractions (same denominator).
Ah! That’s it!
In math, "like fractions" means fractions with the same denominator.
So:
- $ \frac{500}{1000} $ and $ \frac{912}{1000} $ → both have denominator 1000 → like fractions
So, color these two snowmen.
The rest have different denominators.
So:
✔ Color snowman ③ and ④ because they have the same denominator (1000).
---
These are subtraction problems. We write them as fractions — likely meaning as improper fractions or mixed numbers?
But the instruction says: "Write the following as fractions"
Looking at the examples:
1. $ 8 - 61 = ? $
- This is negative: $ -53 $
- As a fraction: $ \frac{-53}{1} $
Similarly:
2. $ 79 + 75 = 154 $ → $ \frac{154}{1} $
3. $ 23 + 80 = 103 $ → $ \frac{103}{1} $
4. $ 7 - 40 = -33 $ → $ \frac{-33}{1} $
5. $ 18 + 20 = 38 $ → $ \frac{38}{1} $
6. $ 31 + 26 = 57 $ → $ \frac{57}{1} $
7. $ 2 + 11 = 13 $ → $ \frac{13}{1} $
8. $ 13 + 45 = 58 $ → $ \frac{58}{1} $
9. $ 35 + 92 = 127 $ → $ \frac{127}{1} $
10. $ 21 + 87 = 108 $ → $ \frac{108}{1} $
11. $ 19 + 45 = 64 $ → $ \frac{64}{1} $
12. $ 7 + 48 = 55 $ → $ \frac{55}{1} $
So, all answers are just integers, written as fractions with denominator 1.
But perhaps the intention is to write the result as a fraction, even if it's an integer.
So the answers are:
| Problem | Answer |
|--------|--------|
| 1. $ 8 - 61 $ | $ \frac{-53}{1} $ |
| 2. $ 79 + 75 $ | $ \frac{154}{1} $ |
| 3. $ 23 + 80 $ | $ \frac{103}{1} $ |
| 4. $ 7 - 40 $ | $ \frac{-33}{1} $ |
| 5. $ 18 + 20 $ | $ \frac{38}{1} $ |
| 6. $ 31 + 26 $ | $ \frac{57}{1} $ |
| 7. $ 2 + 11 $ | $ \frac{13}{1} $ |
| 8. $ 13 + 45 $ | $ \frac{58}{1} $ |
| 9. $ 35 + 92 $ | $ \frac{127}{1} $ |
| 10. $ 21 + 87 $ | $ \frac{108}{1} $ |
| 11. $ 19 + 45 $ | $ \frac{64}{1} $ |
| 12. $ 7 + 48 $ | $ \frac{55}{1} $ |
But maybe they want improper fractions or mixed numbers? But since all results are integers, writing as $ \frac{n}{1} $ is acceptable.
Alternatively, maybe it's a typo and they meant write the expression as a fraction, like $ 8 - 61 = \frac{8 - 61}{1} $, but that’s redundant.
Most likely: Write the result as a fraction.
So we do:
- $ 8 - 61 = -53 = \boxed{\frac{-53}{1}} $
- $ 79 + 75 = 154 = \boxed{\frac{154}{1}} $
- etc.
---
Here, we are given fractions and asked to write them as division facts.
Recall: $ \frac{a}{b} = a \div b $
So:
1. $ \frac{20}{10} = 20 \div 10 $
2. $ \frac{30}{45} = 30 \div 45 $
3. $ \frac{112}{16} = 112 \div 16 $
4. $ \frac{20}{20} = 20 \div 20 $
5. $ \frac{45}{9} = 45 \div 9 $
6. $ \frac{12}{12} = 12 \div 12 $
So the answers are:
| Fraction | Division Fact |
|---------|----------------|
| $ \frac{20}{10} $ | $ 20 \div 10 $ |
| $ \frac{30}{45} $ | $ 30 \div 45 $ |
| $ \frac{112}{16} $ | $ 112 \div 16 $ |
| $ \frac{20}{20} $ | $ 20 \div 20 $ |
| $ \frac{45}{9} $ | $ 45 \div 9 $ |
| $ \frac{12}{12} $ | $ 12 \div 12 $ |
Note: These can be simplified, but the task is just to write as division facts, not to simplify.
---
#### 1. Color the like fractions:
- Color snowman ③ ($ \frac{500}{1000} $) and ④ ($ \frac{912}{1000} $) because they have the same denominator (1000).
#### 2. Write as fractions:
1. $ \frac{-53}{1} $
2. $ \frac{154}{1} $
3. $ \frac{103}{1} $
4. $ \frac{-33}{1} $
5. $ \frac{38}{1} $
6. $ \frac{57}{1} $
7. $ \frac{13}{1} $
8. $ \frac{58}{1} $
9. $ \frac{127}{1} $
10. $ \frac{108}{1} $
11. $ \frac{64}{1} $
12. $ \frac{55}{1} $
#### 3. Write as division facts:
1. $ 20 \div 10 $
2. $ 30 \div 45 $
3. $ 112 \div 16 $
4. $ 20 \div 20 $
5. $ 45 \div 9 $
6. $ 12 \div 12 $
---
Let me know if you'd like this formatted as a printable answer sheet!
1. Color the like fractions (with a hat)
2. Write the following as fractions
3. Write the following as division facts
Let's go through each section step by step and solve the problems.
---
🔹 Section 1: Color the like fractions (with a hat)
There are 6 snowmen, each with a fraction written on their hat:
- ① $ \frac{3}{4} $
- ② $ \frac{7}{8} $
- ③ $ \frac{500}{1000} $
- ④ $ \frac{912}{1000} $
- ⑤ $ \frac{20}{10} $
- ⑥ $ \frac{13}{13} $
We need to identify like fractions — these are fractions that are equal in value (equivalent), even if they look different.
Let’s simplify each one:
1. $ \frac{3}{4} $ → already simplified
2. $ \frac{7}{8} $ → already simplified
3. $ \frac{500}{1000} = \frac{1}{2} $
4. $ \frac{912}{1000} = \frac{114}{125} $ (simplified) → not equal to others
5. $ \frac{20}{10} = 2 $
6. $ \frac{13}{13} = 1 $
So:
- $ \frac{3}{4} $ → 0.75
- $ \frac{7}{8} $ → 0.875
- $ \frac{500}{1000} $ → 0.5
- $ \frac{912}{1000} $ → 0.912
- $ \frac{20}{10} $ → 2
- $ \frac{13}{13} $ → 1
None of them are exactly equal to each other except possibly if some were meant to be equivalent.
Wait — let's check again:
Is any pair equivalent?
- $ \frac{500}{1000} = \frac{1}{2} $
- $ \frac{20}{10} = 2 $
- $ \frac{13}{13} = 1 $
But none of the others match.
Wait — perhaps there is a mistake? Let's recheck:
Maybe the instruction is to color fractions that are equivalent to each other, but here, no two are equal.
Alternatively, maybe the task is to color all fractions that are equal to a given number, but no such instruction is given.
Possibility: The instruction says “like fractions” — this usually means fractions with the same denominator, but here, denominators are all different.
But "like fractions" can also mean equivalent fractions.
But in this case, none are equivalent.
Wait — look at:
- $ \frac{500}{1000} = \frac{1}{2} $
- Is there another $ \frac{1}{2} $? No.
- $ \frac{13}{13} = 1 $
- $ \frac{20}{10} = 2 $
No matches.
But wait — perhaps the question is asking to color fractions that are equal to each other, and since none are equal, then none should be colored?
That seems odd.
Alternatively, maybe it's a visual task — perhaps the hats have numbers, and students are supposed to group or color those that are equivalent.
But based on values:
- $ \frac{3}{4} = 0.75 $
- $ \frac{7}{8} = 0.875 $
- $ \frac{500}{1000} = 0.5 $
- $ \frac{912}{1000} = 0.912 $
- $ \frac{20}{10} = 2 $
- $ \frac{13}{13} = 1 $
All are different.
So unless there’s a typo, there are no like fractions among them.
But let’s suppose the intention was to color fractions that are equal to whole numbers or simple fractions.
For example:
- $ \frac{20}{10} = 2 $ → whole number
- $ \frac{13}{13} = 1 $ → whole number
- $ \frac{500}{1000} = \frac{1}{2} $
But still, no pairs.
Wait — could $ \frac{500}{1000} $ and $ \frac{1}{2} $ be considered like? But $ \frac{1}{2} $ isn't listed.
So unless there's a typo, no two fractions are equivalent, so no coloring needed.
But this seems unlikely for a worksheet.
Alternative interpretation: Perhaps "like fractions" means fractions with the same numerator or denominator, but again, none share numerators or denominators.
Wait — $ \frac{500}{1000} $ and $ \frac{912}{1000} $ both have denominator 1000 — so they are like fractions (same denominator).
Ah! That’s it!
In math, "like fractions" means fractions with the same denominator.
So:
- $ \frac{500}{1000} $ and $ \frac{912}{1000} $ → both have denominator 1000 → like fractions
So, color these two snowmen.
The rest have different denominators.
So:
✔ Color snowman ③ and ④ because they have the same denominator (1000).
---
🔹 Section 2: Write the following as fractions
These are subtraction problems. We write them as fractions — likely meaning as improper fractions or mixed numbers?
But the instruction says: "Write the following as fractions"
Looking at the examples:
1. $ 8 - 61 = ? $
- This is negative: $ -53 $
- As a fraction: $ \frac{-53}{1} $
Similarly:
2. $ 79 + 75 = 154 $ → $ \frac{154}{1} $
3. $ 23 + 80 = 103 $ → $ \frac{103}{1} $
4. $ 7 - 40 = -33 $ → $ \frac{-33}{1} $
5. $ 18 + 20 = 38 $ → $ \frac{38}{1} $
6. $ 31 + 26 = 57 $ → $ \frac{57}{1} $
7. $ 2 + 11 = 13 $ → $ \frac{13}{1} $
8. $ 13 + 45 = 58 $ → $ \frac{58}{1} $
9. $ 35 + 92 = 127 $ → $ \frac{127}{1} $
10. $ 21 + 87 = 108 $ → $ \frac{108}{1} $
11. $ 19 + 45 = 64 $ → $ \frac{64}{1} $
12. $ 7 + 48 = 55 $ → $ \frac{55}{1} $
So, all answers are just integers, written as fractions with denominator 1.
But perhaps the intention is to write the result as a fraction, even if it's an integer.
So the answers are:
| Problem | Answer |
|--------|--------|
| 1. $ 8 - 61 $ | $ \frac{-53}{1} $ |
| 2. $ 79 + 75 $ | $ \frac{154}{1} $ |
| 3. $ 23 + 80 $ | $ \frac{103}{1} $ |
| 4. $ 7 - 40 $ | $ \frac{-33}{1} $ |
| 5. $ 18 + 20 $ | $ \frac{38}{1} $ |
| 6. $ 31 + 26 $ | $ \frac{57}{1} $ |
| 7. $ 2 + 11 $ | $ \frac{13}{1} $ |
| 8. $ 13 + 45 $ | $ \frac{58}{1} $ |
| 9. $ 35 + 92 $ | $ \frac{127}{1} $ |
| 10. $ 21 + 87 $ | $ \frac{108}{1} $ |
| 11. $ 19 + 45 $ | $ \frac{64}{1} $ |
| 12. $ 7 + 48 $ | $ \frac{55}{1} $ |
But maybe they want improper fractions or mixed numbers? But since all results are integers, writing as $ \frac{n}{1} $ is acceptable.
Alternatively, maybe it's a typo and they meant write the expression as a fraction, like $ 8 - 61 = \frac{8 - 61}{1} $, but that’s redundant.
Most likely: Write the result as a fraction.
So we do:
- $ 8 - 61 = -53 = \boxed{\frac{-53}{1}} $
- $ 79 + 75 = 154 = \boxed{\frac{154}{1}} $
- etc.
---
🔹 Section 3: Write the following as division facts
Here, we are given fractions and asked to write them as division facts.
Recall: $ \frac{a}{b} = a \div b $
So:
1. $ \frac{20}{10} = 20 \div 10 $
2. $ \frac{30}{45} = 30 \div 45 $
3. $ \frac{112}{16} = 112 \div 16 $
4. $ \frac{20}{20} = 20 \div 20 $
5. $ \frac{45}{9} = 45 \div 9 $
6. $ \frac{12}{12} = 12 \div 12 $
So the answers are:
| Fraction | Division Fact |
|---------|----------------|
| $ \frac{20}{10} $ | $ 20 \div 10 $ |
| $ \frac{30}{45} $ | $ 30 \div 45 $ |
| $ \frac{112}{16} $ | $ 112 \div 16 $ |
| $ \frac{20}{20} $ | $ 20 \div 20 $ |
| $ \frac{45}{9} $ | $ 45 \div 9 $ |
| $ \frac{12}{12} $ | $ 12 \div 12 $ |
Note: These can be simplified, but the task is just to write as division facts, not to simplify.
---
✔ Final Answers:
#### 1. Color the like fractions:
- Color snowman ③ ($ \frac{500}{1000} $) and ④ ($ \frac{912}{1000} $) because they have the same denominator (1000).
#### 2. Write as fractions:
1. $ \frac{-53}{1} $
2. $ \frac{154}{1} $
3. $ \frac{103}{1} $
4. $ \frac{-33}{1} $
5. $ \frac{38}{1} $
6. $ \frac{57}{1} $
7. $ \frac{13}{1} $
8. $ \frac{58}{1} $
9. $ \frac{127}{1} $
10. $ \frac{108}{1} $
11. $ \frac{64}{1} $
12. $ \frac{55}{1} $
#### 3. Write as division facts:
1. $ 20 \div 10 $
2. $ 30 \div 45 $
3. $ 112 \div 16 $
4. $ 20 \div 20 $
5. $ 45 \div 9 $
6. $ 12 \div 12 $
---
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of class 4 maths worksheet.