Ratios and Proportional Relationships

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, often expressed in the form 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 proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find a unit rate?

Back

A unit rate is found by dividing the quantity of one item by the quantity of another item, typically expressed per one unit of the second item.

Front

What is the unit rate of 120 miles in 2 hours?

Back

The unit rate is 60 miles per hour.

Front

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

Back

There are 9 green apples.

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc, where a, b, c, and d are the terms of the proportion.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the decimal equivalent of 3/4?

Back

The decimal equivalent of 3/4 is 0.75.

Front

If a recipe calls for a ratio of 2:5 of sugar to flour, how much sugar is needed for 10 cups of flour?

Back

4 cups of sugar are needed.