Ratios & Proportions

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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.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you simplify a ratio?

Back

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a proportion?

Back

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?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

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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'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If 3 out of 5 students prefer chocolate ice cream, what is the ratio of chocolate lovers to total students?

Back

The ratio is 3:5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100.

Front

What is the ratio of shaded to unshaded squares if 3 squares are shaded out of 5 total squares?

Back

The ratio is 3:2.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a car travels 300 miles on 10 gallons of gas, what is the miles per gallon?

Back

The miles per gallon is 30.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2