Multiplying by a Whole Number | Fractions Worksheets | Fractions ... - Free Printable

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Let me reconstruct and solve the problems step-by-step as they appear in typical worksheets of this type:

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Problem 1:

*Mark wants to bake 3 cakes for the school party. The recipe says each cake needs 2/3 cup of sugar. How much sugar will Mark need in total?*

Solution:
We are multiplying a fraction by a whole number:
$$
3 \times \frac{2}{3} = \frac{3 \times 2}{3} = \frac{6}{3} = 2
$$

✔ Answer: Mark will need 2 cups of sugar.

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Problem 2:

*Janet wants to make 4 cupcakes. She has 1/2 bottle of red food coloring. She uses 1/8 of a bottle for each cupcake. Does she have enough?*

Step 1: Find out how much food coloring is needed for 4 cupcakes:
$$
4 \times \frac{1}{8} = \frac{4}{8} = \frac{1}{2}
$$

She needs exactly 1/2 bottle, and she has 1/2 bottle.

✔ Answer: Yes, she has just enough.

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Problem 3:

*Mary makes juice using 1/4 cup of apple juice for each serving. If she makes 6 servings, how many cups of juice does she use?*

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

✔ Answer: Mary uses 1½ cups of juice.

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Problem 4:

*A small can of cat food weighs 1/5 of a pound. How many cans does it take to weigh 3 pounds?*

We want to find how many times 1/5 fits into 3:
$$
3 \div \frac{1}{5} = 3 \times 5 = 15
$$

✔ Answer: It takes 15 cans to weigh 3 pounds.

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Problem 5:

*Sandwiches are cut into 1/6 of a whole. If there are 10 sandwiches, how many slices are there?*

Each sandwich is cut into 6 slices (since 1/6 means 6 parts per sandwich):
$$
10 \times 6 = 60
$$

Alternatively:
$$
10 \times \frac{1}{6} = \frac{10}{6} = \frac{5}{3} \text{ (this would be wrong if we’re counting slices)}
$$

Wait — let’s clarify: If each sandwich is cut into 6 slices, then:
- 10 sandwiches × 6 slices = 60 slices

✔ Answer: There are 60 slices.

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✔ Final Answers Summary:

1. 2 cups of sugar
2. Yes, she has enough
3. 1½ cups of juice
4. 15 cans
5. 60 slices

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