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 12 Page 187

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

Ratio: 83, 8 to 3, or 8:3
Meaning: The number of cups of white grape juice is 83 times the number of cups of sugar.

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: b We want to find the value of the ratio of white grape juice to sugar. We can write the fraction that represents this ratio. We will write the number of cups of white grape juice in the numerator and the number of cups of sugar in the denominator. l white grape juice→ sugar→ 2/34 Recall that fractions can be thought of as dividing the numerator by the denominator. 2/34=2÷ 3/4 Before we evaluate this expression, let's first rewrite the expression so that all of the numbers are fractions.
2Ă· 3/4
2/1Ă· 3/4
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 2/1Ă· 3/4=2/1* 4/3 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!
2/1* 4/3
2* 4/1* 3
8/3
The ratio is 83, 8 to 3, or 8:3. This means that the number of cups of white grape juice is 83 times the number of cups of sugar.