Rates and Ratios

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 rate?

Back

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

Front

How do you find the unit price?

Back

To find the unit price, divide the total price by the number of units. For example, if 6 gallons cost $15, the unit price is $15 ÷ 6 = $2.50 per gallon.

Front

What is the ratio of wins to losses if a team has won 11 games and lost 1?

Back

The ratio of wins to losses is 11:1.

Front

How do you compare two ratios?

Back

To compare two ratios, convert them to fractions and find a common denominator or cross-multiply to see which is larger.

Front

What is the better buy: 17 ounces for $3.68 or 13 ounces for $2.89?

Back

The better buy is 17 ounces for $3.68, as it has a lower price per ounce.

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 numbers that maintain the same relationship.

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

If the ratio is 2:3, for 6 cups of flour, you need 4 cups of sugar (2/3 of 6).

Front

What is the formula to calculate the percentage of a part compared to a whole?

Back

The formula is (part/whole) x 100%.