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 solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is the ratio of 5 to 10?

Back

The ratio of 5 to 10 is 1:2.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and vice versa, as they both represent a comparison of two quantities.

Front

If there are 4 boys and 6 girls in a class, what is the ratio of boys to girls?

Back

The ratio of boys to girls is 2:3.

Front

What is the scale factor in a ratio?

Back

The scale factor is the number that scales, or multiplies, one quantity to get another in a ratio.

Front

If a car travels 60 miles in 1 hour, what is the ratio of distance to time?

Back

The ratio of distance to time is 60 miles:1 hour.