What expression is equivalent yo -3/4 7/-2 ÷ 3/-8

Answer 1

To simplify the expression, we need to apply the division and multiplication operations in the correct order of operations.

First, we divide -3/4 by 7/-2.
The division of two fractions can be simplified by multiplying the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction. So, -3/4 ÷ 7/-2 becomes (-3/4) * (-2/7).

Multiplying the numerators and denominators, we get:
(-3 * -2) / (4 * 7) = 6/28.

Next, we divide 6/28 by 3/-8.
Again, we apply the division of fractions rule and multiply numerators and denominators:
(6/28) ÷ (3/-8) = (6/28) * (-8/3).

Multiplying the numerators and denominators, we get:
(6 * -8) / (28 * 3) = -48/84.

The expression -3/4 ÷ 7/-2 ÷ 3/-8 is equivalent to -48/84.