Worksheets for fraction addition - Free Printable
Educational worksheet: Worksheets for fraction addition. Download and print for classroom or home learning activities.
GIF
802×1035
26.8 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1302340
⭐
Show Answer Key & Explanations
Step-by-step solution for: Worksheets for fraction addition
▼
Show Answer Key & Explanations
Step-by-step solution for: Worksheets for fraction addition
Let’s solve each problem step by step. All problems involve adding two fractions — one with denominator 10 and one with denominator 100.
To add them, we need a common denominator. Since 100 is a multiple of 10, we can convert the fraction with denominator 10 into an equivalent fraction with denominator 100.
How? Multiply numerator and denominator by 10.
Example:
$\frac{a}{10} = \frac{a \times 10}{10 \times 10} = \frac{10a}{100}$
Then add the numerators over 100.
---
Problem 1a: $\frac{12}{10} + \frac{54}{100}$
Convert $\frac{12}{10}$ to hundredths:
$\frac{12}{10} = \frac{120}{100}$
Now add:
$\frac{120}{100} + \frac{54}{100} = \frac{174}{100}$
We can leave as improper fraction or simplify later if needed. But since worksheet doesn’t specify, we’ll keep as is unless it reduces nicely.
Actually, let’s check all answers in simplest form or mixed number if appropriate.
But looking at the problems, they likely expect answer as fraction over 100 or simplified.
Wait — actually, many of these will be easier to write as decimals? But no, the worksheet uses fractions, so we’ll stick to fractions.
But note: $\frac{174}{100}$ can be simplified? Let’s see GCD of 174 and 100.
174 ÷ 2 = 87, 100 ÷ 2 = 50 → $\frac{87}{50}$
But maybe the worksheet expects denominator 100? Let’s check other problems.
Actually, looking ahead, some sums will be whole numbers or easy decimals. But since instructions don’t specify, I’ll give both improper fraction and simplified if possible, but for consistency, perhaps just compute and reduce if obvious.
Alternatively, maybe they want decimal? But the problems are written as fractions, so probably fraction answer.
Let me do all carefully.
Actually, let’s re-read: The user said “solve the problem accurately” and “final answer”. Since it’s a worksheet, likely expects fractional answer, possibly simplified.
But to be safe, I’ll compute exact value and present as reduced fraction or mixed number if >1.
Let’s go one by one.
---
1a. $\frac{12}{10} + \frac{54}{100}$
= $\frac{120}{100} + \frac{54}{100} = \frac{174}{100}$
Simplify: divide numerator and denominator by 2 → $\frac{87}{50}$
Or as mixed number: $1 \frac{37}{50}$
But let’s see what’s expected. Maybe keep as $\frac{174}{100}$? Unlikely. Probably simplify.
I think best to simplify where possible.
But let’s hold off and do all first, then decide format.
Actually, let’s look at problem 2a: $\frac{8}{10} + \frac{40}{100} = \frac{80}{100} + \frac{40}{100} = \frac{120}{100} = \frac{6}{5} = 1\frac{1}{5}$
Similarly, others.
Perhaps the worksheet expects answers in simplest form.
I’ll proceed to calculate each and simplify.
---
1a. $\frac{12}{10} + \frac{54}{100} = \frac{120}{100} + \frac{54}{100} = \frac{174}{100} = \frac{87}{50}$
1b. $\frac{1}{10} + \frac{77}{100} = \frac{10}{100} + \frac{77}{100} = \frac{87}{100}$ (already simplified)
2a. $\frac{8}{10} + \frac{40}{100} = \frac{80}{100} + \frac{40}{100} = \frac{120}{100} = \frac{6}{5} = 1\frac{1}{5}$
But let’s keep as improper fraction unless specified. Actually, $\frac{6}{5}$ is fine.
2b. $\frac{3}{100} + \frac{7}{10} = \frac{3}{100} + \frac{70}{100} = \frac{73}{100}$
3a. $\frac{26}{100} + \frac{8}{10} = \frac{26}{100} + \frac{80}{100} = \frac{106}{100} = \frac{53}{50}$
3b. $\frac{8}{10} + \frac{32}{100} = \frac{80}{100} + \frac{32}{100} = \frac{112}{100} = \frac{28}{25}$
4a. $\frac{95}{100} + \frac{3}{10} = \frac{95}{100} + \frac{30}{100} = \frac{125}{100} = \frac{5}{4}$
4b. $\frac{48}{100} + \frac{11}{10} = \frac{48}{100} + \frac{110}{100} = \frac{158}{100} = \frac{79}{50}$
5a. $\frac{67}{100} + \frac{7}{10} = \frac{67}{100} + \frac{70}{100} = \frac{137}{100}$ (already simplified)
5b. $\frac{9}{10} + \frac{38}{100} = \frac{90}{100} + \frac{38}{100} = \frac{128}{100} = \frac{32}{25}$
6a. $\frac{91}{100} + \frac{4}{10} = \frac{91}{100} + \frac{40}{100} = \frac{131}{100}$ (simplified)
6b. $\frac{8}{10} + \frac{70}{100} = \frac{80}{100} + \frac{70}{100} = \frac{150}{100} = \frac{3}{2}$
Now, let’s list all final answers in simplified fraction form.
Double-check calculations:
1a: 12/10 = 120/100; 120+54=174 → 174/100 = 87/50 ✔️
1b: 1/10=10/100; 10+77=87 → 87/100 ✔️
2a: 8/10=80/100; 80+40=120 → 120/100=6/5 ✔️
2b: 7/10=70/100; 3+70=73 → 73/100 ✔️
3a: 8/10=80/100; 26+80=106 → 106/100=53/50 ✔️
3b: 8/10=80/100; 80+32=112 → 112/100=28/25 ✔️ (divided by 4)
4a: 3/10=30/100; 95+30=125 → 125/100=5/4 ✔️ (divided by 25)
4b: 11/10=110/100; 48+110=158 → 158/100=79/50 ✔️ (divided by 2)
5a: 7/10=70/100; 67+70=137 → 137/100 ✔️ (prime, so simplified)
5b: 9/10=90/100; 90+38=128 → 128/100=32/25 ✔️ (divided by 4)
6a: 4/10=40/100; 91+40=131 → 131/100 ✔️ (131 prime)
6b: 8/10=80/100; 80+70=150 → 150/100=3/2 ✔️ (divided by 50)
All correct.
Now, for Final Answer, since it's a worksheet with multiple parts, I should list all answers clearly.
The instruction says: "Final Answer: [Provide only the final correct answer]"
But there are 12 subproblems. So I need to provide all.
Probably list them as:
1a. 87/50
1b. 87/100
etc.
To make it clean, I'll write each on a new line.
Since the worksheet has them labeled, I'll match that.
Final Answer:
1a. $\frac{87}{50}$
1b. $\frac{87}{100}$
2a. $\frac{6}{5}$
2b. $\frac{73}{100}$
3a. $\frac{53}{50}$
3b. $\frac{28}{25}$
4a. $\frac{5}{4}$
4b. $\frac{79}{50}$
5a. $\frac{137}{100}$
5b. $\frac{32}{25}$
6a. $\frac{131}{100}$
6b. $\frac{3}{2}$
I could also write as mixed numbers, but improper fractions are acceptable and consistent.
Some might prefer decimals, but since input is fractions, output should be fractions.
I think this is fine.
Let me confirm one more: 4a is 95/100 + 3/10 = 0.95 + 0.3 = 1.25 = 5/4 ✔️
6b: 8/10 + 70/100 = 0.8 + 0.7 = 1.5 = 3/2 ✔️
Good.
So final answer is the list above.
To add them, we need a common denominator. Since 100 is a multiple of 10, we can convert the fraction with denominator 10 into an equivalent fraction with denominator 100.
How? Multiply numerator and denominator by 10.
Example:
$\frac{a}{10} = \frac{a \times 10}{10 \times 10} = \frac{10a}{100}$
Then add the numerators over 100.
---
Problem 1a: $\frac{12}{10} + \frac{54}{100}$
Convert $\frac{12}{10}$ to hundredths:
$\frac{12}{10} = \frac{120}{100}$
Now add:
$\frac{120}{100} + \frac{54}{100} = \frac{174}{100}$
We can leave as improper fraction or simplify later if needed. But since worksheet doesn’t specify, we’ll keep as is unless it reduces nicely.
Actually, let’s check all answers in simplest form or mixed number if appropriate.
But looking at the problems, they likely expect answer as fraction over 100 or simplified.
Wait — actually, many of these will be easier to write as decimals? But no, the worksheet uses fractions, so we’ll stick to fractions.
But note: $\frac{174}{100}$ can be simplified? Let’s see GCD of 174 and 100.
174 ÷ 2 = 87, 100 ÷ 2 = 50 → $\frac{87}{50}$
But maybe the worksheet expects denominator 100? Let’s check other problems.
Actually, looking ahead, some sums will be whole numbers or easy decimals. But since instructions don’t specify, I’ll give both improper fraction and simplified if possible, but for consistency, perhaps just compute and reduce if obvious.
Alternatively, maybe they want decimal? But the problems are written as fractions, so probably fraction answer.
Let me do all carefully.
Actually, let’s re-read: The user said “solve the problem accurately” and “final answer”. Since it’s a worksheet, likely expects fractional answer, possibly simplified.
But to be safe, I’ll compute exact value and present as reduced fraction or mixed number if >1.
Let’s go one by one.
---
1a. $\frac{12}{10} + \frac{54}{100}$
= $\frac{120}{100} + \frac{54}{100} = \frac{174}{100}$
Simplify: divide numerator and denominator by 2 → $\frac{87}{50}$
Or as mixed number: $1 \frac{37}{50}$
But let’s see what’s expected. Maybe keep as $\frac{174}{100}$? Unlikely. Probably simplify.
I think best to simplify where possible.
But let’s hold off and do all first, then decide format.
Actually, let’s look at problem 2a: $\frac{8}{10} + \frac{40}{100} = \frac{80}{100} + \frac{40}{100} = \frac{120}{100} = \frac{6}{5} = 1\frac{1}{5}$
Similarly, others.
Perhaps the worksheet expects answers in simplest form.
I’ll proceed to calculate each and simplify.
---
1a. $\frac{12}{10} + \frac{54}{100} = \frac{120}{100} + \frac{54}{100} = \frac{174}{100} = \frac{87}{50}$
1b. $\frac{1}{10} + \frac{77}{100} = \frac{10}{100} + \frac{77}{100} = \frac{87}{100}$ (already simplified)
2a. $\frac{8}{10} + \frac{40}{100} = \frac{80}{100} + \frac{40}{100} = \frac{120}{100} = \frac{6}{5} = 1\frac{1}{5}$
But let’s keep as improper fraction unless specified. Actually, $\frac{6}{5}$ is fine.
2b. $\frac{3}{100} + \frac{7}{10} = \frac{3}{100} + \frac{70}{100} = \frac{73}{100}$
3a. $\frac{26}{100} + \frac{8}{10} = \frac{26}{100} + \frac{80}{100} = \frac{106}{100} = \frac{53}{50}$
3b. $\frac{8}{10} + \frac{32}{100} = \frac{80}{100} + \frac{32}{100} = \frac{112}{100} = \frac{28}{25}$
4a. $\frac{95}{100} + \frac{3}{10} = \frac{95}{100} + \frac{30}{100} = \frac{125}{100} = \frac{5}{4}$
4b. $\frac{48}{100} + \frac{11}{10} = \frac{48}{100} + \frac{110}{100} = \frac{158}{100} = \frac{79}{50}$
5a. $\frac{67}{100} + \frac{7}{10} = \frac{67}{100} + \frac{70}{100} = \frac{137}{100}$ (already simplified)
5b. $\frac{9}{10} + \frac{38}{100} = \frac{90}{100} + \frac{38}{100} = \frac{128}{100} = \frac{32}{25}$
6a. $\frac{91}{100} + \frac{4}{10} = \frac{91}{100} + \frac{40}{100} = \frac{131}{100}$ (simplified)
6b. $\frac{8}{10} + \frac{70}{100} = \frac{80}{100} + \frac{70}{100} = \frac{150}{100} = \frac{3}{2}$
Now, let’s list all final answers in simplified fraction form.
Double-check calculations:
1a: 12/10 = 120/100; 120+54=174 → 174/100 = 87/50 ✔️
1b: 1/10=10/100; 10+77=87 → 87/100 ✔️
2a: 8/10=80/100; 80+40=120 → 120/100=6/5 ✔️
2b: 7/10=70/100; 3+70=73 → 73/100 ✔️
3a: 8/10=80/100; 26+80=106 → 106/100=53/50 ✔️
3b: 8/10=80/100; 80+32=112 → 112/100=28/25 ✔️ (divided by 4)
4a: 3/10=30/100; 95+30=125 → 125/100=5/4 ✔️ (divided by 25)
4b: 11/10=110/100; 48+110=158 → 158/100=79/50 ✔️ (divided by 2)
5a: 7/10=70/100; 67+70=137 → 137/100 ✔️ (prime, so simplified)
5b: 9/10=90/100; 90+38=128 → 128/100=32/25 ✔️ (divided by 4)
6a: 4/10=40/100; 91+40=131 → 131/100 ✔️ (131 prime)
6b: 8/10=80/100; 80+70=150 → 150/100=3/2 ✔️ (divided by 50)
All correct.
Now, for Final Answer, since it's a worksheet with multiple parts, I should list all answers clearly.
The instruction says: "Final Answer: [Provide only the final correct answer]"
But there are 12 subproblems. So I need to provide all.
Probably list them as:
1a. 87/50
1b. 87/100
etc.
To make it clean, I'll write each on a new line.
Since the worksheet has them labeled, I'll match that.
Final Answer:
1a. $\frac{87}{50}$
1b. $\frac{87}{100}$
2a. $\frac{6}{5}$
2b. $\frac{73}{100}$
3a. $\frac{53}{50}$
3b. $\frac{28}{25}$
4a. $\frac{5}{4}$
4b. $\frac{79}{50}$
5a. $\frac{137}{100}$
5b. $\frac{32}{25}$
6a. $\frac{131}{100}$
6b. $\frac{3}{2}$
I could also write as mixed numbers, but improper fractions are acceptable and consistent.
Some might prefer decimals, but since input is fractions, output should be fractions.
I think this is fine.
Let me confirm one more: 4a is 95/100 + 3/10 = 0.95 + 0.3 = 1.25 = 5/4 ✔️
6b: 8/10 + 70/100 = 0.8 + 0.7 = 1.5 = 3/2 ✔️
Good.
So final answer is the list above.
Parent Tip: Review the logic above to help your child master the concept of worksheet addition of fractions with unlike denominators.