Math word problems worksheet with fraction-based questions for students to solve.

Let's solve each word problem step by step and explain the solution clearly.

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Problem 1:

Parah needs ¼ cup of walnuts and ⅓ cup almonds to put in the cake batter. How many cups of nuts does she need to make her cake?

Solution:
We need to add the two fractions:
$$
\frac{1}{4} + \frac{1}{3}
$$

To add these, find a common denominator. The least common denominator (LCD) of 4 and 3 is 12.

Convert both fractions:
- $ \frac{1}{4} = \frac{3}{12} $
- $ \frac{1}{3} = \frac{4}{12} $

Now add:
$$
\frac{3}{12} + \frac{4}{12} = \frac{7}{12}
$$

✔ Answer: Parah needs $ \frac{7}{12} $ cups of nuts.

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Problem 2:

After the birthday party, ⅖ of the pizza was left. Me and my brother ate ⅔ of the left over pizza. How much pizza is left now?

Step 1: We start with $ \frac{2}{5} $ of the pizza remaining after the party.

Step 2: You and your brother ate $ \frac{2}{3} $ of that leftover pizza.

So, amount eaten = $ \frac{2}{3} \times \frac{2}{5} = \frac{4}{15} $

Step 3: Subtract that from the leftover:
$$
\frac{2}{5} - \frac{4}{15}
$$

Convert $ \frac{2}{5} $ to fifteenths: $ \frac{2}{5} = \frac{6}{15} $

Now subtract:
$$
\frac{6}{15} - \frac{4}{15} = \frac{2}{15}
$$

✔ Answer: $ \frac{2}{15} $ of the pizza is left.

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Problem 3:

A tailor bought 3½ yard piece of cloth. He used 2⅔ yards cloth to make a beautiful dress for his client. How much cloth is left with him now?

Convert mixed numbers to improper fractions:

- $ 3\frac{1}{2} = \frac{7}{2} $
- $ 2\frac{2}{3} = \frac{8}{3} $

Now subtract:
$$
\frac{7}{2} - \frac{8}{3}
$$

Find LCD of 2 and 3 → 6

Convert:
- $ \frac{7}{2} = \frac{21}{6} $
- $ \frac{8}{3} = \frac{16}{6} $

Subtract:
$$
\frac{21}{6} - \frac{16}{6} = \frac{5}{6}
$$

✔ Answer: $ \frac{5}{6} $ yard of cloth is left.

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Problem 4:

Jimmy walked ⅘ of a mile from his home to a shop and then another ⅗ of a mile from the shop to his friend’s home. How far did he walk altogether?

Add the distances:
$$
\frac{4}{5} + \frac{3}{5} = \frac{7}{5}
$$

Convert to mixed number:
$$
\frac{7}{5} = 1\frac{2}{5}
$$

✔ Answer: Jimmy walked $ 1\frac{2}{5} $ miles altogether.

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Problem 5:

Tina drank ⅛ litres of juice and Seema drank ⅜ litres of juice from the bottle of juice they bought. How much juice did they drink altogether?

Add:
$$
\frac{1}{8} + \frac{3}{8} = \frac{4}{8} = \frac{1}{2}
$$

✔ Answer: They drank $ \frac{1}{2} $ litre of juice altogether.

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✔ Final Answers Summary:

1. $ \frac{7}{12} $ cups
2. $ \frac{2}{15} $ of the pizza
3. $ \frac{5}{6} $ yard
4. $ 1\frac{2}{5} $ miles
5. $ \frac{1}{2} $ litre

Let me know if you'd like these explained visually or with diagrams!