Rates, Ratios, and Proportions

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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.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you write a ratio?

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Ratios can be written in three ways: using a colon (e.g., 3:4), as a fraction (e.g., 3/4), or with the word 'to' (e.g., 3 to 4).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a proportion?

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

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CCSS.7.RP.A.2A

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How do you solve a proportion?

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To solve a proportion, cross-multiply the terms and set the products equal to each other.

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CCSS.7.RP.A.2C

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What is the formula for finding a unit rate?

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The unit rate is found by dividing the quantity by the number of units, expressed as 'quantity per unit' (e.g., miles per hour).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

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The ratio of flour to sugar is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the relationship between ratios and fractions?

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a car travels 150 miles in 3 hours, what is the unit rate of speed?

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The unit rate of speed is 50 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of blue marbles to red marbles if there are 3 blue and 7 red?

Back

The ratio of blue marbles to red marbles is 3:7.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find the total number of parts in a ratio?

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To find the total number of parts in a ratio, add the numbers in the ratio together.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2