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 1: We need to find $ \frac{1}{6} $ of $ \frac{4}{5} $.
This means multiply:
$$
\frac{1}{6} \times \frac{4}{5} = \frac{1 \times 4}{6 \times 5} = \frac{4}{30}
$$

Step 2: Simplify $ \frac{4}{30} $:
$$
\frac{4}{30} = \frac{2}{15}
$$

✔ Answer: $ \boxed{\frac{2}{15}} $

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Problem 2:

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

Step 1: Multiply number of cupcakes by weight per cupcake:
$$
24 \times \frac{1}{10} = \frac{24}{10}
$$

Step 2: Simplify $ \frac{24}{10} $:
$$
\frac{24}{10} = \frac{12}{5} = 2 \frac{2}{5}
$$

✔ 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?

Step 1: Multiply $ \frac{2}{3} $ of $ \frac{7}{8} $:
$$
\frac{2}{3} \times \frac{7}{8} = \frac{2 \times 7}{3 \times 8} = \frac{14}{24}
$$

Step 2: Simplify $ \frac{14}{24} $:
$$
\frac{14}{24} = \frac{7}{12}
$$

✔ 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 wording is ambiguous. It says "is needed to make 6 cookies" and then asks "how much sugar is used altogether?" If it's asking how much sugar is used to make 6 cookies, then the answer is just $ \frac{9}{10} $ oz., because that’s already given.

But if it meant “how much sugar is used per cookie” or if there was more context (like making multiple batches), we'd need more info.

However, since the problem states:
> "9/10 oz. of sugar is needed to make 6 cookies. How much sugar is used altogether?"

And doesn't specify any additional batches, it seems like it's simply stating that $ \frac{9}{10} $ oz. is used for 6 cookies, so altogether for those 6 cookies, it's $ \frac{9}{10} $ oz.

So unless there’s a typo or missing detail, the answer is:

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

But let's double-check: maybe the question meant “how much sugar is used per cookie”? But it says “altogether”, which implies total.

So yes, $ \frac{9}{10} $ oz. is used altogether for 6 cookies.

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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 a different format or visual steps!