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------------------------------------------------ Simplify the expression:

\[\frac{8}{9} \div -\frac{14}{15}\]

Write your answer in simplest form.

Answer :

Answer:

-32/135

Step-by-step explanation:

Answer:

Step 1

Express \frac{\frac{\frac{88}{9}}{-14}}{15}

15

−14

9

88

as a single fraction.

\frac{\frac{88}{9}}{-14\times 15}

−14×15

9

88

Step 2

Multiply -14−14 and 1515 to get -210−210.

\frac{\frac{88}{9}}{-210}

−210

9

88

Hint

Multiply two factors together.

Step 3

Express \frac{\frac{88}{9}}{-210}

−210

9

88

as a single fraction.

\frac{88}{9\left(-210\right)}

9(−210)

88

Step 4

Multiply 99 and -210−210 to get -1890−1890.

\frac{88}{-1890}

−1890

88

Hint

Multiply two factors together.

Step 5

Reduce the fraction \frac{88}{-1890}

−1890

88

to lowest terms by extracting and canceling out 22.

-\frac{44}{945}−

945

44

Solution

-\frac{44}{945}\approx -0.046560847−

945

44

≈−0.046560847