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 using multiplication?

Back

To find an equivalent ratio using multiplication, multiply both terms of the ratio by the same non-zero number. For example, for the ratio 3:4, multiplying both by 2 gives 6:8.

Front

How do you find an equivalent ratio using division?

Back

To find an equivalent ratio using division, divide both terms of the ratio by the same non-zero number. For example, for the ratio 10:15, dividing both by 5 gives 2:3.

Front

What is the simplified form of the ratio 8:12?

Back

The simplified form of the ratio 8:12 is 2:3, found by dividing both terms by their greatest common divisor, which is 4.

Front

If 36:21 = x:7, how do you find x?

Back

To find x, set up the proportion 36/21 = x/7 and cross-multiply. This gives 36 * 7 = 21 * x, leading to x = 12.

Front

Which of the following ratios is equivalent to 3:4? 6:8, 4:3, 12:14, 20:15

Back

6:8 is equivalent to 3:4 because both can be simplified to the same ratio.

Front

What is the ratio of 10 apples to 5 oranges in simplest form?

Back

The simplest form of the ratio 10:5 is 2:1, found by dividing both terms by 5.

Front

Which ratio is NOT equivalent to 5:6? 10:12, 15:18, 16:20, 20:24

Back

16:20 is NOT equivalent to 5:6 because it simplifies to 4:5.

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as fractions that represent the same value. For example, the ratio 1:2 is equivalent to the fraction 1/2.

Front

How can you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply and see if the products are equal. For example, for 2:3 and 4:6, check if 2*6 = 3*4.