Multiplying Fractions Words Problems worksheet - Free Printable

Let's solve each of these fraction word problems step by step and simplify the answers.

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Problem 1:

There was $ \frac{4}{5} $ of a pie left in the fridge. Sarah ate $ \frac{1}{6} $ of the leftover pie. How much of a pie did she have?

Step-by-step:

We are told that Sarah ate $ \frac{1}{6} $ of the leftover pie, which is $ \frac{4}{5} $ of a whole pie.

So we need to find:
$$
\frac{1}{6} \times \frac{4}{5} = \frac{1 \times 4}{6 \times 5} = \frac{4}{30}
$$

Now simplify:
$$
\frac{4}{30} = \frac{2}{15}
$$

✔ Answer: $ \boxed{\frac{2}{15}} $ of a pie.

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Problem 2:

Pam baked some cupcakes for her friends. She baked 24 cupcakes. Each cupcake $ \frac{1}{10} $ is pound. What is the total weight of all cupcakes?

Each cupcake weighs $ \frac{1}{10} $ pound, and there are 24 cupcakes.

So total weight:
$$
24 \times \frac{1}{10} = \frac{24}{10} = \frac{12}{5}
$$

Convert to mixed number:
$$
\frac{12}{5} = 2 \frac{2}{5}
$$

✔ Answer: $ \boxed{2 \frac{2}{5}} $ pounds.

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Problem 3:

There are $ \frac{7}{8} $ kilograms of salt in the kitchen. Mrs. Jackson used $ \frac{2}{3} $ of the salt when she was preparing dinner. How much salt did she use?

She used $ \frac{2}{3} $ of $ \frac{7}{8} $ kg.

So:
$$
\frac{2}{3} \times \frac{7}{8} = \frac{2 \times 7}{3 \times 8} = \frac{14}{24}
$$

Simplify:
$$
\frac{14}{24} = \frac{7}{12}
$$

✔ Answer: $ \boxed{\frac{7}{12}} $ kilograms.

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Problem 4:

According to a recipe, $ \frac{9}{10} $ oz. of sugar is needed to make 6 cookies. How much sugar is used altogether?

Wait — this one says “$ \frac{9}{10} $ oz. of sugar is needed to make 6 cookies.” Then asks: “How much sugar is used altogether?”

But it doesn't specify how many batches or how many cookies are being made. Let’s re-read:

> "According to a recipe, $ \frac{9}{10} $ oz. of sugar is needed to make 6 cookies. How much sugar is used altogether?"

This seems incomplete unless “altogether” refers to just one batch (i.e., making 6 cookies). So the amount used is already given: $ \frac{9}{10} $ oz.

But perhaps it's asking how much sugar is used per cookie, or maybe there's a typo?

Alternatively, if the question is simply asking: "How much sugar is used altogether?" for the recipe (i.e., for 6 cookies), then the answer is just $ \frac{9}{10} $ oz.

But since it says “used altogether,” and only gives one batch, it likely means: how much sugar is used to make 6 cookies?

So the answer is just $ \frac{9}{10} $ oz.

But let's double-check: could it be asking for per cookie? That would be:
$$
\frac{9}{10} \div 6 = \frac{9}{10} \times \frac{1}{6} = \frac{9}{60} = \frac{3}{20} \text{ oz per cookie}
$$

But the question says: “How much sugar is used altogether?” — so total sugar used.

Since the recipe uses $ \frac{9}{10} $ oz for 6 cookies, that's the total.

✔ Answer: $ \boxed{\frac{9}{10}} $ oz.

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✔ Final Answers:

1. $ \boxed{\frac{2}{15}} $
2. $ \boxed{2 \frac{2}{5}} $ pounds
3. $ \boxed{\frac{7}{12}} $ kg
4. $ \boxed{\frac{9}{10}} $ oz

Let me know if you'd like explanations in simpler terms or visual models!