Ratios and Proportions

Front

What is a ratio?

Back

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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, expressed as 'a/b = c/d'.

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number.

Front

If 1:3 is a ratio, what is the equivalent ratio when both terms are multiplied by 2?

Back

2:6.

Front

What is the cross-multiplication method used for?

Back

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

Front

Solve the proportion: 2/3 = x/9. What is x?

Back

x = 6.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.

Front

How can you express the ratio of 4 to 12 in simplest form?

Back

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

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, such as miles per hour.

Front

If a recipe requires 3 cups of flour for every 2 cups of sugar, what is the unit rate of flour to sugar?

Back

The unit rate is 1.5 cups of flour per cup of sugar.