The fraction
converts to the decimal 0.125. When expressed as a percentage, it is 12.5%. The correct representation is option (a) "1.25; 12.5%", as it accurately reflects the conversion.
To convert
to a decimal, you divide the numerator by the denominator:
![\[ (1)/(8) = 0.125 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/fxcytfi00yaj3pwcfltphkd334be8lio2w.png)
Now, to convert this decimal to a percentage, you multiply by 100:
![\[ 0.125 * 100 = 12.5\% \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/bju1p9k5rrz049q4rk8yewtzh48rf2gdgn.png)
So, the correct conversion of
.
The correct answer is option (a) "1.25; 12.5%." Options (b) and (c) provide incorrect decimal or percentage values. Option (d) incorrectly represents the decimal as 0.125, which is correct, but incorrectly states the percent as 12.5%. The correct percent representation is 12.5%, making option (a) the accurate conversion.