Envision Math 2.0: Grade 6, Volume 1
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Envision Math 2.0: Grade 6, Volume 1 View details
6. Divide Mixed Numbers
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Exercise 19 Page 47

Rewrite the mixed numbers as fractions. Then multiply the first fraction by the reciprocal of the second fraction.

9/77

Practice makes perfect
Before we evaluate the expression, let's first rewrite it so that all of the numbers are fractions.
1 Ă· 8 59
1/1 Ă· 8 59
1/1 Ă· 8 * 9+5/9
1/1 Ă· 72+5/9
1/1 Ă· 77/9
The quotient of 1 and 8 59 is the same as the quotient of 11 and 779. 1 Ă· 8 59 &= 1/1 Ă· 77/9 &= * &= Now, dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. Knowing this, we can fill the second box. 1 Ă· 8 59 &= 1/1 Ă· 77/9 &= 1/1 * 9/77 &= Now, when multiplying fractions, remember that the product of two fractions is equal to the product of the numerators over the product of the denominators.
1/1 * 9/77
1 * 9/1 * 77
9/77
The quotient is 977. 1 Ă· 8 59 &= 1/1 Ă· 72/9 &= 1/1 * 9/72 &=9/77