Equivalent Ratios

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio for 3:4, multiply both terms by 2 to get 6:8.

Front

What is the ratio of bass to catfish if Mason caught 1 bass for every 2 catfish?

Back

The ratio of bass to catfish is 1:2.

Front

If Mason caught 14 catfish, how many bass did he catch?

Back

Mason caught 7 bass.

Front

Which of the following ratios is equivalent to 3:4? 6:8, 4:5, 3:3, 4:3

Back

6:8 is equivalent to 3:4.

Front

Are the ratios 2:3 and 8:12 equivalent?

Back

Yes, the ratios 2:3 and 8:12 are equivalent.

Front

What is the simplest form of the ratio 4:12?

Back

The simplest form of the ratio 4:12 is 1:3.

Front

If tomatoes and cucumbers are planted in a ratio of 4:1 and there are 7 cucumber plants, how many tomato plants are there?

Back

There are 28 tomato plants.

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as equivalent fractions. For example, the ratio 1:2 can be written as the fraction 1/2.

Front

How can you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply the terms. If the products are equal, the ratios are equivalent.