Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio as a fraction?

Back

To write a ratio as a fraction, place the first quantity over the second quantity. For example, the ratio 5 to 2 is written as 5/2.

Front

What does it mean for two ratios to form a proportion?

Back

Two ratios form a proportion if they are equal when expressed as fractions. For example, 1/2 and 2/4 form a proportion.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 8:12 simplifies to 2:3.

Front

If the ratio of girls to boys is 15:6, what is the simplest form?

Back

The simplest form of the ratio 15:6 is 5:2.

Front

What is the ratio of players to teams if there are 24 players and 3 teams?

Back

The ratio of players to teams is 24:3, which simplifies to 8:1.

Front

If a ratio is 3:5 and there are 30 tenants, how many cars are there?

Back

If the ratio of tenants to cars is 3:5, then with 30 tenants, there are 50 cars.

Front

What is the first step to determine if two ratios form a proportion?

Back

The first step is to cross-multiply the two ratios and compare the products.

Front

What is the GCD of 15 and 6?

Back

The GCD of 15 and 6 is 3.

Front

If the ratio of A to B is 4:5, what is the ratio of B to A?

Back

The ratio of B to A is the reciprocal, which is 5:4.