Question

Simplify the complex fraction. 8/5 divide by 6 3/4 *

Answer 1

Explanation:

`(8)/(5)`÷6
`(3)/(4)`

First, simplify the 6
`(3)/(4)` to an improper fraction, which is:

`(27)/(4)`

Next rewrite the equation using the improper fraction:

`(8)/(5)`÷
`(27)/(4)`

Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase Copy Dot Flip - Copy the first fraction, put a dot for multiplication, and flip the second fraction.

`(8)/(5)`·
`(4)/(27)`

Finally, multiply together and simplify/reduce if needed:

The final answer is
`(32)/(135)` and no simplification or reduction is needed