Question

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

Answer 1

$- \frac{7}{10} \div (- \frac{4}{5} ) \\ \\ - \frac{7}{10} \div - \frac{4}{5} \\ \\ - \frac{7}{10} \times \frac{5}{-4} \\ \\ \frac{7}{10} \times \frac{5}{4} \\ \\ \frac{7 \times 5}{10 \times 4} \\ \\ \frac{35}{10 \times 4} \\ \\ \frac{35}{40} \\ \\ \frac{7}{8} \\ \\ Answer: \fbox {7/8} \ or \ \fbox {0.875}$

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