Question

What is -4/5 ÷ (-7/6) in simplest form ??

Answer 1

Answer:

$\frac{24}{35}$

Step-by-step explanation:

1) Remove parentheses.

$- \frac{4}{5} \div - \frac{7}{6}$

2) Use this rule: a ÷ b/c = a × c/b.

$- \frac{4}{5} \times \frac{6}{ - 7}$

3) Use this rule: a/b × c/d = ac/bd.

$- \frac{4 \times 6}{5 \times - 7}$

4) Simplify 4 × 6 to 24.

$- \frac{24}{5 \times - 7}$

5) Simplify 5 × -7 to -35.

$- \frac{24}{ - 35}$

6) Move the negative sing to the left.

$- ( - \frac{24}{35} )$

7) Remove parentheses.

$\frac{24}{35}$

Therefor, the answer is 24/35.