Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
1. Ratios and Ratio Tables
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Exercise 13 Page 187

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.

Ratio: 32, 3 to 2, or 3:2
Meaning: The number of cups of lime juice is 32 times the number of cups of mint leaves.

Practice makes perfect
There are many different ways to compare amounts or quantities. A ratio is a comparison of two quantities by division. For example, the ratio of a to b can be written in two different ways. a/b or a: bWe want to find the value of the ratio of lime juice to mint leaves. We can write the fraction that represents this ratio. We will write the number of cups of lime juice in the numerator and the number of cups of mint leaves in the denominator. l lime juice→ mint leaves→ 34/12 Recall that fractions can be thought of as dividing the numerator by the denominator. 34/12=3/4÷ 1/2 Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 3/4÷ 1/2=3/4* 2/1 When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!
3/4* 2/1
3* 2/4* 1
6/4
6Ă· 2/4Ă· 2
3/2
The ratio is 32, 3 to 2, or 3:2. This means that the number of cups of lime juice is 32 times the number of cups of mint leaves.