Ratio 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

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

Cross-multiply the terms and solve for the unknown variable.

Front

What is the ratio of boys to girls in a class of 30 students with 18 boys?

Back

3:2

Front

If there are 2 circles for every 1 square, what is the ratio of circles to squares?

Back

2:1

Front

If you earn $15 every 3 weeks, how much do you earn in 5 weeks?

Back

$25

Front

What is the first step to solve the proportion 3/4 = x/12?

Back

Cross-multiply to get 3 * 12 = 4 * x.

Front

Jose swims 3 laps in 2 minutes. How long for 27 laps?

Back

18 minutes.

Front

What is the relationship between ratios and fractions?

Back

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