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
