Grade 5 math worksheet focusing on adding and subtracting fractions through practical word problems.

Let’s solve each problem one by one. We’ll work through them step by step, using simple math and clear thinking.

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Problem 1:

You give 1/3 of a pan to Susan and 1/6 of the pan to Ramon. How much did you give away?

We need to add:
1/3 + 1/6

To add fractions, they must have the same bottom number (denominator).
The smallest common denominator for 3 and 6 is 6.

Convert 1/3 to sixths:
1/3 = 2/6

Now add:
2/6 + 1/6 = 3/6

Simplify 3/6 → divide top and bottom by 3 → 1/2

✔ You gave away 1/2 of the pan.

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Problem 2:

You walk 3/4 mile, then rest, then walk 3/8 mile. Total distance?

Add: 3/4 + 3/8

Common denominator for 4 and 8 is 8.

Convert 3/4 to eighths:
3/4 = 6/8

Now add:
6/8 + 3/8 = 9/8

9/8 is more than 1 whole. Let’s write it as a mixed number:
9 ÷ 8 = 1 with remainder 1 → so 1 and 1/8

✔ You walked 1 1/8 miles altogether.

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Problem 3:

Pam walks 7/8 mile to school. Paul walks 1/2 mile. How much farther does Pam walk?

Subtract: 7/8 - 1/2

Common denominator for 8 and 2 is 8.

Convert 1/2 to eighths:
1/2 = 4/8

Now subtract:
7/8 - 4/8 = 3/8

✔ Pam walks 3/8 mile farther than Paul.

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Problem 4:

Students used 1/6 of the playground for basketball court and 3/8 for soccer field. How much is left for recess and play equipment?

First, find how much was used:
1/6 + 3/8

Find common denominator for 6 and 8 → that’s 24.

Convert:
1/6 = 4/24
3/8 = 9/24

Add:
4/24 + 9/24 = 13/24

Total playground = 1 whole = 24/24

Leftover = 24/24 - 13/24 = 11/24

✔ 11/24 of the playground is left for recess and play equipment.

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Problem 5:

Marty uses 2/3 cup sugar for one recipe, 1/4 cup for another. Total sugar?

Add: 2/3 + 1/4

Common denominator for 3 and 4 is 12.

Convert:
2/3 = 8/12
1/4 = 3/12

Add:
8/12 + 3/12 = 11/12

✔ Marty used 11/12 cup of sugar in all.

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Final Answer:

1. 1/2
2. 1 1/8
3. 3/8
4. 11/24
5. 11/12