Worksheet with fraction word problems for students to solve.
A worksheet titled "Adding and Subtracting Fractions With Like Denominators: Word Problems" featuring six word problems involving fractions, each with a yellow border and a small illustration.
GIF
301×390
25.8 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #613170
⭐
Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Fractions With Like Denominators: Word ...
▼
Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Fractions With Like Denominators: Word ...
Let’s solve each problem one by one. All problems involve adding or subtracting fractions with like denominators — that means the bottom numbers (denominators) are the same, so we can just add or subtract the top numbers (numerators).
---
Problem 1:
Ms. Stanley’s art class is painting:
- 2/5 of the class → animals
- 3/5 of the class → objects
We want to know what fraction is painting animals OR objects.
Since these are separate groups and we’re combining them, we add:
2/5 + 3/5 = (2 + 3)/5 = 5/5
5/5 simplifies to 1 (the whole class).
✔ So, the entire class is painting either animals or objects.
---
Problem 2:
Max drives:
- First leg: 1/4 mile to post office
- Second leg: 3/4 mile to grocery store
Total distance = 1/4 + 3/4 = (1 + 3)/4 = 4/4
4/4 = 1 mile
✔ Max drove 1 mile total.
---
Problem 3:
Ella spends:
- 2/7 hour cleaning
- 3/7 hour cooking
Total time = 2/7 + 3/7 = (2 + 3)/7 = 5/7 hour
✔ Ella spent 5/7 hour preparing.
---
Problem 4:
Raffie (male giraffe): 6/8 ton
Lula (female giraffe): 5/8 ton
How much more does Raffie weigh? → Subtract!
6/8 - 5/8 = (6 - 5)/8 = 1/8 ton
✔ Raffie weighs 1/8 ton more than Lula.
---
Problem 5:
Yesterday: walked 2/8 mile
Today: walked 3/8 mile
Total = 2/8 + 3/8 = (2 + 3)/8 = 5/8 mile
✔ Khloe and her dog walked 5/8 mile total.
---
Problem 6:
Kennedy sees:
- 3/9 shirts are green
- 4/9 shirts are blue
She wants to know: What fraction are NOT green?
That means: everything except the green ones.
So, total shirts = 9/9 (whole closet)
Subtract green: 9/9 - 3/9 = 6/9
But wait — let’s check if this makes sense another way.
The non-green shirts include:
- Blue: 4/9
- Other colors? The problem doesn’t say there are only green and blue. But since it asks for “not green”, and gives us green as 3/9, then regardless of other colors, “not green” = total minus green.
So yes: 9/9 - 3/9 = 6/9
We can simplify 6/9 → divide numerator and denominator by 3 → 2/3
But the problem says: “Write your answer as a proper fraction, whole number, or mixed number.” It doesn’t require simplest form unless specified. However, in most school settings, simplified form is preferred.
Wait — let’s reread: “What fraction of the shirts in his closet are not green?”
It doesn’t specify to simplify, but typically we do.
But note: 6/9 is correct, and 2/3 is also correct and simpler.
However, looking at all other answers, they left fractions unsimplified when possible (like 5/7, 1/8, etc.). But 5/5 became 1, 4/4 became 1 — so they simplified when it was a whole number.
For 6/9, it’s not a whole number, but it can be simplified.
Actually, let’s think: maybe the problem expects us to leave it as 6/9? Or simplify?
In standard math education, we usually simplify fractions unless told otherwise.
But let’s see the context: all other problems had denominators that didn’t reduce further except when becoming 1.
Here, 6/9 reduces to 2/3.
I think safest is to give simplified form.
Alternatively, perhaps the problem implies only green and blue exist? Let’s check:
Green: 3/9, Blue: 4/9 → together 7/9. Then 2/9 must be other colors.
Then “not green” = blue + others = 4/9 + 2/9 = 6/9 = 2/3.
Same result.
So whether you do total minus green, or add non-green parts, you get 6/9 = 2/3.
I’ll go with 2/3 as final answer for #6.
But wait — let me double-check the problem statement:
“Kennedy separates the shirts in his closet by color. He notices that 3/9 of the shirts are green. What fraction of the shirts in his closet are not green?”
No mention of blue being relevant to the question — blue is extra info? Actually, no — it says he separates by color and notices 3/9 are green. The blue part might be a distractor? Or maybe not.
Actually, re-reading: “He notices that 3/9 of the shirts are green.” That’s the only fact given about proportions. The blue part is stated, but the question is only about “not green”.
So even without blue, “not green” = 1 - 3/9 = 6/9 = 2/3.
Yes.
So I’ll use 2/3.
But to match style of other answers, maybe keep as 6/9? No — because in problem 1 and 2, they simplified 5/5 and 4/4 to 1. So simplification is expected when possible.
Thus, 6/9 → 2/3.
Final decision: 2/3
---
Now, compiling all answers:
1. 1
2. 1
3. 5/7
4. 1/8
5. 5/8
6. 2/3
Wait — for #6, let me confirm once more.
If 3/9 are green, then not green is 6/9, which simplifies to 2/3. Yes.
Some might argue to leave as 6/9, but since 5/5 became 1, we should simplify.
Also, 6/9 is not in lowest terms.
So yes, 2/3.
---
Final Answer:
1. 1
2. 1
3. 5/7
4. 1/8
5. 5/8
6. 2/3
---
Problem 1:
Ms. Stanley’s art class is painting:
- 2/5 of the class → animals
- 3/5 of the class → objects
We want to know what fraction is painting animals OR objects.
Since these are separate groups and we’re combining them, we add:
2/5 + 3/5 = (2 + 3)/5 = 5/5
5/5 simplifies to 1 (the whole class).
✔ So, the entire class is painting either animals or objects.
---
Problem 2:
Max drives:
- First leg: 1/4 mile to post office
- Second leg: 3/4 mile to grocery store
Total distance = 1/4 + 3/4 = (1 + 3)/4 = 4/4
4/4 = 1 mile
✔ Max drove 1 mile total.
---
Problem 3:
Ella spends:
- 2/7 hour cleaning
- 3/7 hour cooking
Total time = 2/7 + 3/7 = (2 + 3)/7 = 5/7 hour
✔ Ella spent 5/7 hour preparing.
---
Problem 4:
Raffie (male giraffe): 6/8 ton
Lula (female giraffe): 5/8 ton
How much more does Raffie weigh? → Subtract!
6/8 - 5/8 = (6 - 5)/8 = 1/8 ton
✔ Raffie weighs 1/8 ton more than Lula.
---
Problem 5:
Yesterday: walked 2/8 mile
Today: walked 3/8 mile
Total = 2/8 + 3/8 = (2 + 3)/8 = 5/8 mile
✔ Khloe and her dog walked 5/8 mile total.
---
Problem 6:
Kennedy sees:
- 3/9 shirts are green
- 4/9 shirts are blue
She wants to know: What fraction are NOT green?
That means: everything except the green ones.
So, total shirts = 9/9 (whole closet)
Subtract green: 9/9 - 3/9 = 6/9
But wait — let’s check if this makes sense another way.
The non-green shirts include:
- Blue: 4/9
- Other colors? The problem doesn’t say there are only green and blue. But since it asks for “not green”, and gives us green as 3/9, then regardless of other colors, “not green” = total minus green.
So yes: 9/9 - 3/9 = 6/9
We can simplify 6/9 → divide numerator and denominator by 3 → 2/3
But the problem says: “Write your answer as a proper fraction, whole number, or mixed number.” It doesn’t require simplest form unless specified. However, in most school settings, simplified form is preferred.
Wait — let’s reread: “What fraction of the shirts in his closet are not green?”
It doesn’t specify to simplify, but typically we do.
But note: 6/9 is correct, and 2/3 is also correct and simpler.
However, looking at all other answers, they left fractions unsimplified when possible (like 5/7, 1/8, etc.). But 5/5 became 1, 4/4 became 1 — so they simplified when it was a whole number.
For 6/9, it’s not a whole number, but it can be simplified.
Actually, let’s think: maybe the problem expects us to leave it as 6/9? Or simplify?
In standard math education, we usually simplify fractions unless told otherwise.
But let’s see the context: all other problems had denominators that didn’t reduce further except when becoming 1.
Here, 6/9 reduces to 2/3.
I think safest is to give simplified form.
Alternatively, perhaps the problem implies only green and blue exist? Let’s check:
Green: 3/9, Blue: 4/9 → together 7/9. Then 2/9 must be other colors.
Then “not green” = blue + others = 4/9 + 2/9 = 6/9 = 2/3.
Same result.
So whether you do total minus green, or add non-green parts, you get 6/9 = 2/3.
I’ll go with 2/3 as final answer for #6.
But wait — let me double-check the problem statement:
“Kennedy separates the shirts in his closet by color. He notices that 3/9 of the shirts are green. What fraction of the shirts in his closet are not green?”
No mention of blue being relevant to the question — blue is extra info? Actually, no — it says he separates by color and notices 3/9 are green. The blue part might be a distractor? Or maybe not.
Actually, re-reading: “He notices that 3/9 of the shirts are green.” That’s the only fact given about proportions. The blue part is stated, but the question is only about “not green”.
So even without blue, “not green” = 1 - 3/9 = 6/9 = 2/3.
Yes.
So I’ll use 2/3.
But to match style of other answers, maybe keep as 6/9? No — because in problem 1 and 2, they simplified 5/5 and 4/4 to 1. So simplification is expected when possible.
Thus, 6/9 → 2/3.
Final decision: 2/3
---
Now, compiling all answers:
1. 1
2. 1
3. 5/7
4. 1/8
5. 5/8
6. 2/3
Wait — for #6, let me confirm once more.
If 3/9 are green, then not green is 6/9, which simplifies to 2/3. Yes.
Some might argue to leave as 6/9, but since 5/5 became 1, we should simplify.
Also, 6/9 is not in lowest terms.
So yes, 2/3.
---
Final Answer:
1. 1
2. 1
3. 5/7
4. 1/8
5. 5/8
6. 2/3
Parent Tip: Review the logic above to help your child master the concept of adding fractions word problems.