Ratios and 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

What is a rate?

Back

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

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 15 pizzas cost $97.50, the unit rate is $97.50 ÷ 15 = $6.50 per pizza.

Front

What is the unit price of an item?

Back

The unit price is the cost of one unit of a product, calculated by dividing the total price by the number of units.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is the ratio of wins to losses if a team has 25 wins and 45 losses?

Back

The ratio of wins to losses is 25:45, which simplifies to 5:9.

Front

If 4 bars of soap cost $5, how much do 8 bars cost?

Back

If 4 bars cost $5, then 8 bars would cost $10, as the cost doubles.

Front

What is the ratio of flour and butter to sugar in a recipe that calls for 2 cups of sugar, 3 cups of flour, and 1 cup of butter?

Back

The ratio of flour and butter (3 cups + 1 cup = 4 cups) to sugar (2 cups) is 4:2, which simplifies to 2:1.

Front

What does it mean to compare quantities using ratios?

Back

Comparing quantities using ratios means to express how much of one quantity exists in relation to another quantity.

Front

How can 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.