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Use properties to evaluate (1 : 3)(-8). O A. -5 B. 2 O C. 5 O D.-21pq

User Amandanovaes
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1 Answer

12 votes
12 votes

You have the following expression:

3/4(1/5 ÷ 3/5)(-8)

In order to simplify the previous expression, first make the division inside the parenthesis. Take into account that a division between fractions can be written as a multiplication by inverting numerator and denominator of the second fraction, just as follow:

1/5 ÷ 3/5 = (1/5)x(5/3) = 5/15 = 1/3

where you have simplified the fraction 5/15 by dividing by 5 numerator and denominator.

next, replace the previous result in the given expression and multiply the fractions:

3/4(1/3)(-8) = (3/12)(-8) simplified the first factor

= (1/4)(-8) use the signs multiplication rule

= -8/4 simplify the fraction

= -2

Hence, the simplified expression is -2

User Metroids
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