RATIOS

Front

What is a ratio?

Back

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

Front

How do you simplify a ratio?

Back

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

Front

If the ratio of small t-shirts to large t-shirts is 7:14, what is the simplified ratio?

Back

The simplified ratio is 1:2.

Front

How do you find the total number of items in a ratio?

Back

Add the parts of the ratio together and multiply by the number of sets.

Front

In a ratio of 3:5, if there are 250 green apples, how do you find the number of red apples?

Back

Set up the proportion: 3/(3+5) = x/250, then solve for x.

Front

What is the ratio of astronauts in outer space to the total number of astronauts if there are 29 in space and 8 on Earth?

Back

The ratio is 29:37.

Front

How do you express a ratio in different forms?

Back

Ratios can be expressed as fractions, with a colon (:) or the word 'to'.

Front

If two contestants share a reward in a ratio of 5:6, how do you find the amount each contestant receives?

Back

Add the parts of the ratio (5+6=11), then divide the total reward by 11 and multiply by each contestant's part.

Front

What is the ratio of trombones to trumpets if there are 15 trumpets and 9 trombones?

Back

The ratio is 9:15, which simplifies to 3:5.

Front

How do you convert a ratio to a fraction?

Back

Write the first term as the numerator and the second term as the denominator.