Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
4. Adding and Subtracting Decimals
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Exercise 3 Page 71

Rewrite the expression so that all of the numbers are fractions. Remember that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. Rewrite your answer as mixed number.

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Practice makes perfect
Before we evaluate the expression, let's first rewrite both mixed numbers so that they are improper fractions.
6 23Ă·3 15
6* 3 +2/3 Ă· 3* 5 +1/5
18+2/3 Ă· 15+1/5
20/3 Ă· 16/5
Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 20/3 Ă· 16/5=20/3 * 5/16 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!
20/3 * 5/16
20* 5/3* 16
100/48
We need to find the answer in simplest possible form. Note that 100 and 48 have a common factor, which is 4. Let's divide both the numerator and the denominator by 4.
100/48
100 Ă· 4/48 Ă· 4
25/12
There are no more common factors between the numerator and the denominator. We can also write this fraction as a mixed number because the numerator is greater than the denominator.
25/12
24+1/12
24/12+1/12
2+1/12
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