Ratios and Unit Rates

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).

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 'per unit' (e.g., miles per hour).

Front

How do you find the unit rate from a total cost?

Back

To find the unit rate, divide the total cost by the number of items purchased.

Front

What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship between quantities.

Front

If the ratio of red marbles to blue marbles is 2:3, how many red marbles are there if there are 15 blue marbles?

Back

There are 10 red marbles.

Front

What is the ratio of 12:16 in simplest form?

Back

The simplest form of 12:16 is 3:4.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How do you convert a ratio to a fraction?

Back

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

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.