Big Ideas Math: Modeling Real Life, Grade 7
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5. Dividing Rational Numbers
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Exercise 11 Page 75

Rewrite the expression so that all of the numbers are fractions. Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.

- 5/54

Practice makes perfect
Consider the given expression. - 29/2 25 Recall that fractions can be thought of as dividing the numerator by the denominator. - 29/2 25 = - 2/9Ă· 2 25 Before we evaluate the expression, let's first rewrite the expression so that all of the numbers are fractions.
- 2/9Ă· 2 25
- 2/9Ă· 2* 5+2/5
- 2/9Ă· 10+2/5
- 2/9Ă· 12/5
Recall that dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. - 2/9Ă· 12/5 = - 2/9* 5/12 When multiplying real numbers, the product will be positive if the signs are the same and it will be negative if the signs are different. cc Same Sign & Different Signs (+)(+)=(+) & (+)(-)=(-) (-)(-)=(+) & (-)(+)=(-) In our case one number is negative and one number is positive, so the product will be negative.
- 2/9* 5/12
- (2/9* 5/12)
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!
- (2/9* 5/12)
- 2* 5/9* 12
- 10/108
- 10Ă· 2/108Ă· 2
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