Rate and Ratio

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

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or dollars per pound.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 3 pounds of granola cost $3.75, the unit rate is $3.75 ÷ 3 = $1.25 per pound.

Front

If 2 tablets disinfect 1 quart of water, how many tablets are needed for 4 quarts?

Back

8 tablets.

Front

The Hawks soccer team won 12 out of 14 games. If they play 21 games, how many will they win?

Back

18 games.

Front

What is the formula to find equivalent ratios?

Back

To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number.

Front

If Ellie uses 6 tablespoons of plant food for 2 gallons of water, how much does she need for 6 gallons?

Back

18 tablespoons.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How can you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor.

Front

What is a proportion?

Back

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