Question

Divide. Express your answer in lowest terms. - 7/10 divide by (- 4/5)

Answer 1

`- (7)/(10) / (- (4)/(5) ) \\ \\ - (7)/(10) / - (4)/(5) \\ \\ - (7)/(10) * (5)/(-4) \\ \\ (7)/(10) * (5)/(4) \\ \\ (7 * 5)/(10 * 4) \\ \\ (35)/(10 * 4) \\ \\ (35)/(40) \\ \\ (7)/(8) \\ \\ Answer: \fbox {7/8} \ or \ \fbox {0.875}`

Answer 2

-7/10 ÷ (-4/5)

First, we need to do KCF

Keep the first fraction.

-7/10

Change the sign.

-7/10 *

Flip the fraction

-7/10 * (-5/4)

Now multiply!

7*5 = 35
4*10 = 40

Now, simplify

35/5 = 7
40/5 = 8

Final answer: 7/8