Simplifying and Writing Ratios

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 to 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) until no further simplification is possible.

Front

What is the boy:girl ratio in a class with 15 boys and 20 girls?

Back

3:4

Front

What is the ratio of girls to boys in a class with 12 girls and 14 boys?

Back

6:7

Front

If the ratio of chickens to pigs is 2:5, what is the ratio of chickens to total animals?

Back

2 to 7

Front

How do you express the ratio 15 to 10 in simplest form?

Back

3 to 2

Front

If the ratio of boys to girls is 1 to 3, what is the ratio of boys to total students?

Back

1:4

Front

What does it mean if a ratio is expressed as 'a:b'?

Back

It means for every 'a' units of the first quantity, there are 'b' units of the second quantity.

Front

What is the first step in solving a ratio problem?

Back

Identify the quantities being compared and write them in ratio form.

Front

How can you check if a ratio is in simplest form?

Back

A ratio is in simplest form if the two numbers have no common factors other than 1.