#030 Equivalent Ratios

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 1:2 and 2:4 are equivalent.

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How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number. For example, for the ratio 3:4, multiplying both terms by 2 gives 6:8.

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If the ratio of trucks to cars is 7:8 and there are 21 trucks, how many cars are there?

Back

24 cars.

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You earn $35 for washing 7 cars. How much do you earn for washing 4 cars?

Back

$20.

Front

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. If 5 cups of flour are used, how much milk is needed?

Back

2.5 cups of milk.

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What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator. For example, the ratio 3:4 can be written as the fraction 3/4.

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How can you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply and compare the products. If the products are equal, the ratios are equivalent.

Front

If a printer prints 28 photos in 8 minutes, how long does it take to print 21 photos?

Back

6 minutes.

Front

What is the unit rate?

Back

The unit rate is a ratio that compares a quantity to one unit of another quantity. For example, if you earn $35 for 7 cars, the unit rate is $5 per car.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, the ratio 8:12 can be simplified to 2:3 by dividing both terms by 4.