Grade 5 Fraction Multiplication Word Problems Worksheet from K5 Learning

Let's solve each of the fraction multiplication word problems step by step.

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Problem 1:

There was $ \frac{2}{3} $ of a pie left in the fridge. Daniel ate $ \frac{1}{4} $ of the leftover pie. How much of a pie did he have?

#### Step-by-step solution:

We are told:
- There was $ \frac{2}{3} $ of a pie remaining.
- Daniel ate $ \frac{1}{4} $ of that leftover pie, so we need to find $ \frac{1}{4} $ of $ \frac{2}{3} $.

This is a multiplication of fractions:

$$
\frac{1}{4} \times \frac{2}{3} = \frac{1 \times 2}{4 \times 3} = \frac{2}{12}
$$

Simplify $ \frac{2}{12} $:

$$
\frac{2}{12} = \frac{1}{6}
$$

✔ Answer: Daniel had $ \boxed{\frac{1}{6}} $ of the whole pie.

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Problem 2:

Olivia took out 8 glasses and poured juice from the pitcher. The capacity of each glass is $ \frac{1}{2} $ liter. If there was enough juice for 6 glasses, how much juice was there?

#### Step-by-step solution:

Each glass holds $ \frac{1}{2} $ liter.

She poured juice into 6 glasses, so total juice used:

$$
6 \times \frac{1}{2} = \frac{6}{2} = 3 \text{ liters}
$$

✔ Answer: There was $ \boxed{3} $ liters of juice.

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Problem 3:

Pam baked some cupcakes for her friends. She baked 24 cupcakes. Each cupcake is $ \frac{1}{4} $ pound. If she packed 6 cupcakes in each box, what is the weight of each box?

#### Step-by-step solution:

Each cupcake weighs $ \frac{1}{4} $ pound.

She packs 6 cupcakes per box.

So, weight of one box:

$$
6 \times \frac{1}{4} = \frac{6}{4} = \frac{3}{2} = 1\frac{1}{2} \text{ pounds}
$$

✔ Answer: The weight of each box is $ \boxed{1\frac{1}{2}} $ pounds.

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✔ Final Answers:

1. $ \frac{1}{6} $ of a pie
2. 3 liters
3. $ 1\frac{1}{2} $ pounds

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