4.5 use 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

If the ratio of A to B is 3:4, what is the equivalent ratio if 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 expressed as fractions that represent the same value. For example, the ratio 1:2 is equivalent to the fraction 1/2.

Front

How can equivalent ratios be used to solve real-world problems?

Back

Equivalent ratios can be used to scale quantities in recipes, determine distances in maps, or compare prices in shopping.

Front

What is the cross-multiplication method for solving ratios?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio to find unknown values.

Front

If 2:3 = x:12, what is the value of x?

Back

Using cross-multiplication, x = (2 * 12) / 3, so x = 8.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, you can cross-multiply and see if the products are equal.

Front

If the ratio of boys to girls in a class is 5:7, how many boys are there if there are 28 girls?

Back

Using equivalent ratios, if 7 parts represent 28 girls, then 5 parts represent (5/7) * 28 = 20 boys.