Ratios and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, often expressed in the form 'a to b' or as a fraction 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 unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first term as the numerator and the second term as the denominator.

Front

If the ratio of apples to oranges is 4:3, how many oranges are there if there are 12 apples?

Back

There are 9 oranges. (4 apples corresponds to 3 oranges, so 12 apples corresponds to (12/4)*3 = 9 oranges.)

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal, often written as a/b = c/d.

Front

How can you find a missing value in a ratio?

Back

You can find a missing value in a ratio by setting up a proportion and solving for the unknown.

Front

What is the simplest form of the ratio 18:24?

Back

The simplest form of the ratio 18:24 is 3:4.

Front

If a recipe calls for a ratio of 2:5 of sugar to flour, how much sugar is needed for 15 cups of flour?

Back

6 cups of sugar are needed. (2/5 = x/15, so x = (2/5)*15 = 6.)

Front

What does it mean to express a ratio in simplest form?

Back

Expressing a ratio in simplest form means reducing it to the smallest whole number terms possible.