Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as '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

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

What is the ratio of female teachers to male teachers if there are 5 female and 13 male teachers?

Back

5:13

Front

If the ratio of pass to fail in a class is 5:1, how many students are passing if there are 90 students total?

Back

75 students are passing.

Front

What is the cost of one slice of pizza if a pizza with 8 slices costs $12?

Back

$1.50 per slice.

Front

If Angie purchased 25 fruits, 10 were apples, what is the ratio of peaches to apples?

Back

3:2.

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

A ratio 'a:b' can be expressed as the fraction a/(a+b).