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andrew-mc [135]
3 years ago
8

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

Mathematics
1 answer:
hichkok12 [17]3 years ago
4 0

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 <em>Copy Dot Flip - </em>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:

<u>The final answer is </u>\frac{32}{135}<u> and no simplification or reduction is needed</u>

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