How do you evaluate \frac{-1}{4}\times \frac{8}{7}−14×87?

2 Answers
Max
Dec 13, 2017

(-1)/4 xx 8/7 = (-2)/7−14×87=−27

Explanation:

When multiplying two fractions, all you need to do is multiply the two numerators together to make the new numerator, and multiply the two denominators together to make the new denominator.

-1xx8 = -8−1×8=−8
4xx7 = 284×7=28

(-1)/4 xx 8/7 = (-8)/28−14×87=−828

Then we can simplify this answer by diving both the numerator and the denominator by 44.

-8-:4 = -2−8÷4=−2
28-:4=728÷4=7

so (-1)/4 xx 8/7 = (-2)/7−14×87=−27

This can't be simplified any further as -2−2 and 77 have no common factors.

Jim G.
Dec 13, 2017

-2/7−27

Explanation:

color(blue)"cancel common factors "" on the numerators/denominators"cancel common factors on the numerators/denominators

rArr(-1)/cancel(4)^1xxcancel(8)^2/7

"multiply together remaining values on"
"numerators/denominators"

=(-1xx2)/(1xx7)=-2/7larrcolor(blue)"in simplest form"

"a fraction is in "color(blue)"simplest form"" when no other"
"factor but 1 divides into the numerator/denominator"

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