Question

Divide. Write your answer in simplest form

7/9÷8/15

Answer 1

35/24

Step-by-step explanation:

Dividing fractions is somewhat unique, because instead of dividing, we multiply by the reciprocal of the fraction.

In other words, we take the fraction that we're dividing by, and flop it over, and multiply:

`\sf{(7)/(9)/(8)/(15)}`

`\sf{(7)/(9)*(15)/(8)}`

Reduce:

`\sf{(7)/(3)*(5)/(8)}`

Multiply:

`\sf{(35)/(24)}`

Hence, the answer is 35/24.