To simplify the ratio \(58\% : 45\%\), you can divide both percentages by 45.
First, convert the percentages to decimals:
- \(58\% = 0.58\)
- \(45\% = 0.45\)
Now, divide \(0.58\) by \(0.45\):
\[ \frac{0.58}{0.45} \approx 1.2889 \]
So, the ratio in decimal form is approximately \(1.29\).
Now, if you want to express this ratio as a fraction, you can write it as:
\[ \frac{58}{45} \]
This fraction can be simplified further if needed, but since 58 and 45 have no common factors (beyond 1), the simplest form is:
\[ \frac{58}{45} \]
Thus, the ratio \(58\% : 45\%\) can be expressed as \(58 : 45\) or approximately as \(1.29 : 1\).