Multiplying Fractions Word Problems worksheet for math practice.

Let's solve each of these multiplying fractions 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} $, which means multiplying:

$$
\frac{1}{6} \times \frac{4}{5} = \frac{1 \times 4}{6 \times 5} = \frac{4}{30}
$$

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

Divide numerator and denominator by their GCF (2):

$$
\frac{4 \div 2}{30 \div 2} = \frac{2}{15}
$$

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

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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} $:

Divide numerator and denominator by 2:

$$
\frac{24 \div 2}{10 \div 2} = \frac{12}{5}
$$

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?

Step 1: Multiply $ \frac{7}{8} \times \frac{2}{3} $:

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

Step 2: Simplify $ \frac{14}{24} $:

GCF of 14 and 24 is 2:

$$
\frac{14 \div 2}{24 \div 2} = \frac{7}{12}
$$

✔ 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 a bit ambiguous. But since it says “$ \frac{9}{10} $ oz. of sugar is needed to make 6 cookies,” and asks “how much sugar is used altogether?” — it seems like we’re being told that for 6 cookies, $ \frac{9}{10} $ oz. is used, and the question is asking how much sugar is used altogether — but there’s no mention of making more than 6 cookies.

So unless there’s a typo or missing information, the amount of sugar used altogether for 6 cookies is just $ \frac{9}{10} $ oz.

But let’s double-check: perhaps the problem meant to say "to make one cookie" or "to make a batch"? As written, it says:

> "$ \frac{9}{10} $ oz. of sugar is needed to make 6 cookies."

So if only 6 cookies are made, then the total sugar used is simply $ \frac{9}{10} $ oz.

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

However, if the intention was to ask how much sugar is used per cookie, or if multiple batches were made, that would be different. But based on the wording, "how much sugar is used altogether?" refers to the total for the 6 cookies.

So we assume it's just asking for the total sugar used to make those 6 cookies — which is already given as $ \frac{9}{10} $ oz.

Thus, no multiplication is needed.

✔ Final 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

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