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Exploring Equivalent Ratios

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Exploring Equivalent Ratios

For each ratio, keep the quantities in the same order. Show how you know when a question asks you to explain.

Build and Compare Ratios

1.Multiply both parts of 4:7 by 3. What equivalent ratio do you get?

2.Divide both parts of 18:30 by 6. Write the equivalent ratio in simplest form.

3.Complete the ratio table by finding the missing values. The first row is 5:8; the next rows are made by multiplying both parts by 2, 4, and 7.

Multiplier: 1 | 2 | 4 | 7

Ratio: 5:8 | ___:___ | ___:___ | ___:___

4.The ratio of blue counters to yellow counters is 3:5. If both groups are doubled, how many blue and yellow counters will there be, and what ratio will they show?

5.Which ratios are equivalent to 8:12? Select all that apply.

2:3
16:24
6:10
24:36

6.True or false: 15:25 and 3:5 are equivalent. Explain by describing one operation you can use to change one ratio into the other.

7.Match each ratio to an equivalent ratio.

15:20
12:27
20:24
8:28

8.Write three different ratios equivalent to 6:11. Use a different whole-number multiplier for each one.

Apply and Explain

9.A fruit drink is mixed using 2 cups of concentrate for every 5 cups of water. How many cups of water are needed for 6 cups of concentrate to keep the drink the same strength?

10.Explain why multiplying both parts of a ratio by the same nonzero number preserves the relationship between the quantities.

11.A paint mixture uses 3 parts white paint for every 4 parts blue paint. A student uses 18 parts white paint and 20 parts blue paint. Is the new mixture equivalent to the original? Show how you decided.