Ratios and Proportions

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

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

What is the ratio of boys to girls if there are 18 boys and 12 girls?

Back

The ratio of boys to girls is 3:2.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 6 cups of flour?

Back

You need 4 cups of sugar.

Front

What is the unit rate?

Back

The unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

If you earn $500 for 25 hours of work, what is your hourly wage?

Back

Your hourly wage is $20.

Front

How do you find the price per item?

Back

To find the price per item, divide the total cost by the number of items.