Question

Please answer this! I know the answer but I need “explain your answer” how did you get it?

Answer 1

20 divided by 15/16 is

20 times 16/15 which is

(4*16)/3=

$\frac{64}{3}$=

$21\frac{1}{3}$

Answer 2

Answer:

Step-by-step explanation:

20 ÷ $\frac{15}{16}$

Can be rewritten as:

$\frac{20}{1}$÷ $\frac{15}{16}$

Now we multiply, by keeping the first fraction, and flipping the second.

$\frac{20}{1}$ * $\frac{16}{15}$

We can reduce 20 and 15 by 5, to make it easier to solve:

$\frac{4}{1}$ * $\frac{16}{3}$

Not lets solve:

$\frac{4}{1}$ * $\frac{16}{3}$

$\frac{64}{3}$ = $21\frac{1}{3}$ = $21.{\overline {\rm {3}}}$ (the 3 is repeating).

So, in short words, keep the 20, flips the fraction ($\frac{15}{16}$) to ($\frac{16}{15}$), and then reduce the 20 to 4, and the fraction ($\frac{16}{15}$)    to  $\frac{16}{3}$ , and then multiply.

Hope that helps!