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, the ratios 1:2 and 2:4 are equivalent.

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.

Front

What is the ratio of 5 to 4 expressed as a fraction?

Back

The ratio of 5 to 4 can be expressed as the fraction 5/4.

Front

If a ratio is 3:4, what is the equivalent ratio when both terms are multiplied by 2?

Back

The equivalent ratio is 6:8.

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be represented as equivalent fractions. For example, the ratio 2:3 is equivalent to the fraction 2/3.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for the ratios a:b and c:d, they are equivalent if a*d = b*c.

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios. It helps in visualizing the relationship between the quantities.

Front

If the ratio of boys to girls in a class is 2:3, how many boys are there if there are 15 girls?

Back

If the ratio is 2:3, then for every 3 girls, there are 2 boys. If there are 15 girls, then there are (15 girls * 2 boys) / 3 girls = 10 boys.

Front

What is the missing number in the ratio 4:x = 12:9?

Back

To find x, set up the proportion: 4/12 = x/9. Cross-multiply to get 4*9 = 12*x, which gives x = 3.

Front

Are the ratios 2:3 and 8:9 equivalent?

Back

No, the ratios 2:3 and 8:9 are not equivalent because their cross products are not equal (2*9 ≠ 3*8).