Grade 4 Math Word Problems Worksheet - Adding and Subtracting Fractions Word Problems #1

Let's solve each problem step by step.

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Problem 1:

Your class had a pizza party. 3/8 of one pizza was left over, and 4/8 of another pizza was left over. You put them both into one box. How much pizza do you have altogether?

#### Solution:
1. The amount of pizza left from the first pizza is \( \frac{3}{8} \).
2. The amount of pizza left from the second pizza is \( \frac{4}{8} \).
3. To find the total amount of pizza, add the two fractions:
\[
\frac{3}{8} + \frac{4}{8} = \frac{3 + 4}{8} = \frac{7}{8}
\]

#### Answer:
\[
\boxed{\frac{7}{8}}
\]

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Problem 2:

A cake recipe requires 3/5 cup of sugar for the frosting and 1/5 cup of sugar for the cake. How much sugar is that altogether?

#### Solution:
1. The amount of sugar needed for the frosting is \( \frac{3}{5} \).
2. The amount of sugar needed for the cake is \( \frac{1}{5} \).
3. To find the total amount of sugar, add the two fractions:
\[
\frac{3}{5} + \frac{1}{5} = \frac{3 + 1}{5} = \frac{4}{5}
\]

#### Answer:
\[
\boxed{\frac{4}{5}}
\]

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Problem 3:

You walk 3/10 of a mile to your friend’s house, and then 5/10 of a mile to school. How far did you walk altogether?

#### Solution:
1. The distance walked to your friend’s house is \( \frac{3}{10} \) mile.
2. The distance walked to school is \( \frac{5}{10} \) mile.
3. To find the total distance walked, add the two fractions:
\[
\frac{3}{10} + \frac{5}{10} = \frac{3 + 5}{10} = \frac{8}{10}
\]
4. Simplify \( \frac{8}{10} \) to its lowest terms:
\[
\frac{8}{10} = \frac{4}{5}
\]

#### Answer:
\[
\boxed{\frac{4}{5}}
\]

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Problem 4:

After a party, 5/8 of the cake is left over. That night, big brother eats 2/8 of the cake. How much is left over after that?

#### Solution:
1. Initially, \( \frac{5}{8} \) of the cake is left over.
2. Big brother eats \( \frac{2}{8} \) of the cake.
3. To find how much cake is left, subtract the amount eaten from the initial amount:
\[
\frac{5}{8} - \frac{2}{8} = \frac{5 - 2}{8} = \frac{3}{8}
\]

#### Answer:
\[
\boxed{\frac{3}{8}}
\]

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Problem 5:

You have 7 5/8 feet of yarn to make a bracelet. You only use 4 1/8 yards for the bracelet. How much yarn is left over?

#### Solution:
1. First, convert the mixed numbers to improper fractions:
- \( 7 \frac{5}{8} = \frac{7 \times 8 + 5}{8} = \frac{56 + 5}{8} = \frac{61}{8} \)
- \( 4 \frac{1}{8} = \frac{4 \times 8 + 1}{8} = \frac{32 + 1}{8} = \frac{33}{8} \)
2. Subtract the amount of yarn used from the total amount of yarn:
\[
\frac{61}{8} - \frac{33}{8} = \frac{61 - 33}{8} = \frac{28}{8}
\]
3. Simplify \( \frac{28}{8} \):
\[
\frac{28}{8} = \frac{7}{2} = 3 \frac{1}{2}
\]

#### Answer:
\[
\boxed{3 \frac{1}{2}}
\]

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Final Answers:

1. \(\boxed{\frac{7}{8}}\)
2. \(\boxed{\frac{4}{5}}\)
3. \(\boxed{\frac{4}{5}}\)
4. \(\boxed{\frac{3}{8}}\)
5. \(\boxed{3 \frac{1}{2}}\)