Big Ideas Math: Modeling Real Life, Grade 7
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5. Dividing Rational Numbers
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Exercise 3 Page 74

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

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Practice makes perfect
Consider the given expression. - 6/5Ă· (- 1/2) Recall that dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. - 6/5Ă· ( - 1/2) = - 6/5* ( - 2/1) 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 both numbers are negative, so the product will be positive.
- 6/5* (- 2/1)
6/5* 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!
6/5* 2/1
6* 2/5* 1
12/5
The quotient is 125. This is not the simplest form of this fraction because it is improper. Improper fractions can be written as mixed numbers.
12/5
10+2/5
10/5+2/5
2+2/5
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