Fractions exercise for 5 - Free Printable

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

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1. Candy read 4/8 of her book the first night and 2/8 of her book the second night. What fraction of her book is left to read?

Step 1: Add the fractions she has already read:
$$
\frac{4}{8} + \frac{2}{8} = \frac{6}{8}
$$

Step 2: Subtract from the whole book (which is 1 or 8/8):
$$
\frac{8}{8} - \frac{6}{8} = \frac{2}{8}
$$

Simplify:
$$
\frac{2}{8} = \frac{1}{4}
$$

✔ Answer: $ \frac{1}{4} $ of the book is left to read.

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2. On Friday night, the family ate 1/4 of the lasagne. The following night, they ate another 1/4. How much lasagne was left?

Step 1: Total eaten:
$$
\frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}
$$

Step 2: Subtract from the whole (1 or 4/4):
$$
\frac{4}{4} - \frac{2}{4} = \frac{2}{4} = \frac{1}{2}
$$

✔ Answer: $ \frac{1}{2} $ of the lasagne was left.

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3. Daniel wants to paint his whole room. He painted 2/10 of his room blue and 7/10 of his room green. He wants to use red for the rest of his room. What fraction of his room will he paint red?

Step 1: Add the parts already painted:
$$
\frac{2}{10} + \frac{7}{10} = \frac{9}{10}
$$

Step 2: Subtract from the whole (1 or 10/10):
$$
\frac{10}{10} - \frac{9}{10} = \frac{1}{10}
$$

✔ Answer: $ \frac{1}{10} $ of the room will be painted red.

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4. The first night of the storm destroyed 5/8 of Julie’s vegetable garden. The second night the storm destroyed a further 2/8 of the garden. How much of her vegetable garden was left?

Note: The wording says "destroyed 5/8" on the first night, then "a further 2/8" — so total destroyed:
$$
\frac{5}{8} + \frac{2}{8} = \frac{7}{8}
$$

Step 2: Subtract from the whole:
$$
1 - \frac{7}{8} = \frac{1}{8}
$$

✔ Answer: $ \frac{1}{8} $ of the garden was left.

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5. Tina drank 1/8 litres of juice and Seema drank 4/8 litres of juice. How much juice do they drink altogether?

Step 1: Add the amounts:
$$
\frac{1}{8} + \frac{4}{8} = \frac{5}{8}
$$

✔ Answer: They drank $ \frac{5}{8} $ litres altogether.

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6. Anna drank 2/7 of the water in the jug and Jenny drank the rest of the water. How much did Jenny drink?

Step 1: Total water = 1 (or 7/7)

Step 2: Subtract what Anna drank:
$$
\frac{7}{7} - \frac{2}{7} = \frac{5}{7}
$$

✔ Answer: Jenny drank $ \frac{5}{7} $ of the water.

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✔ Final Answers Summary:

1. $ \frac{1}{4} $
2. $ \frac{1}{2} $
3. $ \frac{1}{10} $
4. $ \frac{1}{8} $
5. $ \frac{5}{8} $
6. $ \frac{5}{7} $

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