Ratio and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a to b' or a:b.

Front

What is a proportion?

Back

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

Front

How do you solve for x in a proportion?

Back

Cross-multiply the terms and then solve for x.

Front

What is the formula for finding a missing value in a proportion?

Back

Front

If 3:4 = x:16, what is the value of x?

Back

x = 12.

Front

What does it mean if two ratios are equivalent?

Back

It means they represent the same relationship between quantities.

Front

How can you express a ratio as a fraction?

Back

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and vice versa, as they both represent a part-to-whole relationship.

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much sugar is needed for 9 cups of flour?

Back

You need 6 cups of sugar.

Front

What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other.