Question

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

Answer 1

`(24)/(35)`

Explanation:

1) Remove parentheses.

`- (4)/(5) / - (7)/(6)`

2) Use this rule: a ÷ b/c = a × c/b.

`- (4)/(5) * (6)/( - 7)`

3) Use this rule: a/b × c/d = ac/bd.

`- (4 * 6)/(5 * - 7)`

4) Simplify 4 × 6 to 24.

`- (24)/(5 * - 7)`

5) Simplify 5 × -7 to -35.

`- (24)/( - 35)`

6) Move the negative sing to the left.

`- ( - (24)/(35) )`

7) Remove parentheses.

`(24)/(35)`

Therefor, the answer is 24/35.