Fraction multiplication word problems worksheet for students to practice multiplying fractions by whole numbers.

Let's solve each problem step by step from the worksheet titled "Fractions: Multiplying by a Whole Number".

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1. Ms. Jones is baking 3 cakes for the school fundraiser. Each cake calls for 2/3 cup of sugar. How much sugar will Ms. Jones need for her cakes?

We are multiplying a fraction by a whole number:

$$
3 \times \frac{2}{3}
$$

Multiply the whole number by the numerator:

$$
\frac{3 \times 2}{3} = \frac{6}{3} = 2
$$

✔ Answer: Ms. Jones will need 2 cups of sugar.

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2. Jason wants to make 4 batches of cookies. His recipe calls for 3/4 cup of flour per batch. How much flour does Jason need?

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

✔ Answer: Jason needs 3 cups of flour.

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3. Mary makes juice using 1/2 cup of apple juice for each serving. She wants to make 8 servings. How many cups of apple juice does she need?

$$
8 \times \frac{1}{2} = \frac{8}{2} = 4
$$

✔ Answer: Mary needs 4 cups of apple juice.

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4. A piece of cloth is 5/6 yard long. If you cut it into 9 equal pieces, how long is each piece?

Wait — this one is tricky. The question says "cut into 9 equal pieces", so we are dividing the length by 9, not multiplying.

So:
$$
\frac{5}{6} \div 9 = \frac{5}{6} \times \frac{1}{9} = \frac{5}{54}
$$

✔ Answer: Each piece is 5/54 yard long.

But wait — let’s double-check the wording:
> "If you cut it into 9 equal pieces, how long is each piece?"

Yes, that means divide. So this is division, not multiplication. But the title says "Multiplying by a Whole Number". That suggests there might be a mistake in the interpretation or perhaps the problem was meant to be different.

Alternatively, maybe the problem is asking: *How much total cloth would you have if you had 9 pieces of 5/6 yard each?* But no — it says “a piece of cloth is 5/6 yard long” and then “cut into 9 equal pieces”.

So unless the original problem is misworded, this is not a multiplication problem.

But let’s assume the intention was:
> "A piece of cloth is 5/6 yard long. If you use 9 such pieces, how much cloth do you have?"

Then:
$$
9 \times \frac{5}{6} = \frac{45}{6} = 7.5 = 7\frac{1}{2}
$$

✔ Then answer would be 7½ yards.

But based on the current wording:
> "cut it into 9 equal pieces" → division.

So the correct math is:
$$
\frac{5}{6} \div 9 = \frac{5}{54}
$$

✔ Final answer: Each piece is 5/54 yard long.

However, since the worksheet is about multiplying fractions by whole numbers, this problem might be intended as:

> "If each piece is 5/6 yard, and you have 9 pieces, how much total cloth?"

Then:
$$
9 \times \frac{5}{6} = \frac{45}{6} = 7\frac{1}{2}
$$

✔ Answer: 7½ yards

But the wording says: "A piece of cloth is 5/6 yard long. If you cut it into 9 equal pieces..." → implies one piece being divided.

So likely, the problem has a typo or miswording.

But to match the theme of multiplying, perhaps it should be:

> "Each piece is 5/6 yard long. How much cloth is needed for 9 pieces?"

That would make sense.

Assuming that’s the intent (since the worksheet is about multiplication), we go with:

$$
9 \times \frac{5}{6} = \frac{45}{6} = 7\frac{1}{2}
$$

✔ Answer: 7½ yards

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5. Samantha ate 3/4 of a chocolate bar. If the chocolate bar was 12 inches long, how many inches did she eat?

We multiply:

$$
\frac{3}{4} \times 12 = \frac{3 \times 12}{4} = \frac{36}{4} = 9
$$

✔ Answer: Samantha ate 9 inches of the chocolate bar.

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✔ Final Answers:

1. 2 cups of sugar
2. 3 cups of flour
3. 4 cups of apple juice
4. 7½ yards (assuming 9 pieces each 5/6 yard) — *if original is division, answer is 5/54 yard per piece*
5. 9 inches

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⚠️ Note: Problem #4 may have a wording issue. If it truly says "a piece of cloth is 5/6 yard long" and then "cut into 9 equal pieces", then the correct answer is 5/54 yard per piece, which involves division, not multiplication.

But since the worksheet is about multiplication, it's more likely the intended problem was:
> "Each piece is 5/6 yard long. How much cloth is used for 9 pieces?"

So we'll go with 7½ yards as the expected answer.

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Summary:

| Problem | Answer |
|--------|--------|
| 1 | 2 cups |
| 2 | 3 cups |
| 3 | 4 cups |
| 4 | 7½ yards (or 5/54 yard per piece if division) |
| 5 | 9 inches |

Let me know if you'd like a version with corrected wording or visual explanation!