Question

simplify the ratio 41.6 to 28.8

Answer 1

We want to simplify the following ratio:

$41.6\colon28.8$

Let's multiply both numbers by 10, so we don't need to deal with decimals.

$\frac{41.6}{28.8}=\frac{416}{288}$

Now, let's factorize both numbers to get their greatest common factor

$\begin{gathered} 416=2\times2\times2\times2\times2\times13=32\times13 \\ 288=2\times2\times2\times2\times2\times3\times3=2^5\times9=32\times9 \end{gathered}$

The greatest common factor is 32. Divinding both numerator and denominator by 32, we have

$\frac{416/32}{288/32}=\frac{13}{9}$

Our simplified ratio is 13/9.