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Drupady [299]
2 years ago
13

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

Mathematics
1 answer:
Orlov [11]2 years ago
3 0

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}

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>24</u><u>/</u><u>35</u>.

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