Answer:
[tex] \frac{24}{35} [/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex] - \frac{4}{5} \div - \frac{7}{6} [/tex]
2) Use this rule: a ÷ b/c = a × c/b.
[tex] - \frac{4}{5} \times \frac{6}{ - 7} [/tex]
3) Use this rule: a/b × c/d = ac/bd.
[tex] - \frac{4 \times 6}{5 \times - 7} [/tex]
4) Simplify 4 × 6 to 24.
[tex] - \frac{24}{5 \times - 7} [/tex]
5) Simplify 5 × -7 to -35.
[tex] - \frac{24}{ - 35} [/tex]
6) Move the negative sing to the left.
[tex] - ( - \frac{24}{35} )[/tex]
7) Remove parentheses.
[tex] \frac{24}{35} [/tex]
Therefor, the answer is 24/35.
