Worksheet with five word problems on equivalent fractions for math practice.

Let's solve each of these equivalent fractions word problems step by step.

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1) Aunt Sue baked a batch of cookies and shared $\frac{3}{10}$ of them with her neighbor. If she gave 15 cookies to her neighbor, how many cookies had Aunt Sue bake altogether?

Step 1: We know that $\frac{3}{10}$ of the total cookies = 15 cookies.

Let the total number of cookies be $ x $.
So:
$$
\frac{3}{10}x = 15
$$

Step 2: Solve for $ x $:
$$
x = 15 \div \frac{3}{10} = 15 \times \frac{10}{3} = \frac{150}{3} = 50
$$

✔ Answer: Aunt Sue baked 50 cookies.

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2) At school, the teacher surveyed the color preferences of 21 students. Out of every 7 students surveyed, 4 said they liked blue the best. How many students said their favorite color was blue?

Step 1: The ratio is: 4 out of every 7 students like blue.

We want to find how many out of 21 students like blue.

Since $ 21 \div 7 = 3 $, we can scale up the ratio:
$$
4 \times 3 = 12
$$

✔ Answer: 12 students said blue was their favorite color.

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3) A home improvement store in Ohio had some great deals on garden supplies. If 81 customers visited the store in the morning and $\frac{2}{9}$ of them picked up garden tools, how many customers bought garden tools?

Step 1: Multiply total customers by the fraction:
$$
\frac{2}{9} \times 81 = \frac{2 \times 81}{9} = \frac{162}{9} = 18
$$

✔ Answer: 18 customers bought garden tools.

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4) Mark bought gift tokens for his daughter, Sally, to use at the state fair. Sally used $\frac{13}{20}$ of the tokens on rides. If she used 65 tokens, how many tokens had Mark bought?

Step 1: Let total tokens be $ x $.
Then:
$$
\frac{13}{20}x = 65
$$

Step 2: Solve for $ x $:
$$
x = 65 \div \frac{13}{20} = 65 \times \frac{20}{13} = \frac{1300}{13} = 100
$$

✔ Answer: Mark bought 100 tokens.

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5) Mia blends biking and running into her training plan. She dedicates $\frac{2}{7}$ of her everyday workout to biking. If she exercises for 49 minutes every day, how many minutes does she bike?

Step 1: Multiply total exercise time by the fraction:
$$
\frac{2}{7} \times 49 = \frac{2 \times 49}{7} = \frac{98}{7} = 14
$$

✔ Answer: Mia bikes for 14 minutes each day.

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✔ Final Answers:

1) 50 cookies
2) 12 students
3) 18 customers
4) 100 tokens
5) 14 minutes

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