Ratios & Unit 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. It can be expressed in three ways: as a fraction, with a colon, or with the word 'to'.

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How can a ratio be written?

Back

A ratio can be written in three ways: 1) as a fraction (e.g., 3/4), 2) with a colon (e.g., 3:4), and 3) using the word 'to' (e.g., 3 to 4). It cannot be written as an equation (e.g., 3=4).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate from a total?

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To find the unit rate, divide the total quantity by the total cost or total number of units. For example, if you buy 36 cookies for $4, the unit rate is 36 cookies ÷ 4 dollars = 9 cookies per dollar.

Front

Which is the better deal: $2.98 for 15 oz of Oreos or $2.50 for 14 oz of Chips Ahoy?

Back

Chips Ahoy is the better deal because it has a lower price per ounce.

Front

What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

The ratio of red apples to green apples is 4 to 3.

Front

How do you find the ratio of one type of fruit to the total number of fruits?

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To find the ratio of one type of fruit to the total, divide the number of that type of fruit by the total number of fruits. For example, if there are 5 pears in a bowl of 11 fruits, the ratio is 5:11.

Front

What does it mean if a ratio is simplified?

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A simplified ratio means that the numbers in the ratio have been reduced to their smallest whole number form. For example, the ratio 4:8 simplifies to 1:2.

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If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?

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If the ratio is 2:3, then for 4 cups of flour, you need 6 cups of sugar to maintain the same ratio.

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. For example, a ratio of 3:4 can be written as the fraction 3/4.