Question

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

Answer 1

Step-by-step explanation:

$\frac{8}{5}$÷6$\frac{3}{4}$

First, simplify the 6$\frac{3}{4}$ to an improper fraction, which is:

$\frac{27}{4}$

Next rewrite the equation using the improper fraction:

$\frac{8}{5}$÷$\frac{27}{4}$

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.

$\frac{8}{5}$·$\frac{4}{27}$

Finally, multiply together and simplify/reduce if needed:

The final answer is $\frac{32}{135}$ and no simplification or reduction is needed