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.

`(41.6)/(28.8)=(416)/(288)`

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

`\begin{gathered} 416=2*2*2*2*2*13=32*13 \\ 288=2*2*2*2*2*3*3=2^5*9=32*9 \end{gathered}`

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

`(416/32)/(288/32)=(13)/(9)`

Our simplified ratio is 13/9.