Multiplying Fractions Words Problems worksheet - Free Printable

Let's solve each problem step by step.

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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?

#### Solution:
1. The amount of pie left in the fridge is \( \frac{4}{5} \).
2. Sarah ate \( \frac{1}{6} \) of the leftover pie.
3. To find how much Sarah ate, we multiply \( \frac{4}{5} \) by \( \frac{1}{6} \):
\[
\frac{4}{5} \times \frac{1}{6} = \frac{4 \times 1}{5 \times 6} = \frac{4}{30}
\]
4. 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 weighs \( \frac{1}{10} \) pound. What is the total weight of all cupcakes?

#### Solution:
1. Pam baked 24 cupcakes.
2. Each cupcake weighs \( \frac{1}{10} \) pound.
3. To find the total weight, multiply the number of cupcakes by the weight of each cupcake:
\[
24 \times \frac{1}{10} = \frac{24}{10}
\]
4. Simplify \( \frac{24}{10} \):
\[
\frac{24}{10} = \frac{12}{5} = 2 \frac{2}{5}
\]

#### Answer:
\[
\boxed{\frac{12}{5} \text{ or } 2 \frac{2}{5}}
\]

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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?

#### Solution:
1. The total amount of salt is \( \frac{7}{8} \) kilograms.
2. Mrs. Jackson used \( \frac{2}{3} \) of the salt.
3. To find how much salt she used, multiply \( \frac{7}{8} \) by \( \frac{2}{3} \):
\[
\frac{7}{8} \times \frac{2}{3} = \frac{7 \times 2}{8 \times 3} = \frac{14}{24}
\]
4. Simplify \( \frac{14}{24} \):
\[
\frac{14}{24} = \frac{7}{12}
\]

#### Answer:
\[
\boxed{\frac{7}{12}}
\]

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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?

#### Solution:
1. The recipe requires \( \frac{9}{10} \) oz. of sugar for 6 cookies.
2. Since the question asks for the total amount of sugar used, and no additional information is given about making more than 6 cookies, the answer is simply the amount of sugar needed for 6 cookies.
3. Therefore, the total sugar used is \( \frac{9}{10} \) oz.

#### Answer:
\[
\boxed{\frac{9}{10}}
\]

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Final Answers:

1. \(\boxed{\frac{2}{15}}\)
2. \(\boxed{\frac{12}{5} \text{ or } 2 \frac{2}{5}}\)
3. \(\boxed{\frac{7}{12}}\)
4. \(\boxed{\frac{9}{10}}\)