To convert 175% to a fraction, follow these steps:
1. Write the percentage as a fraction:
[tex]\[
175\% = \frac{175}{100}
\][/tex]
2. Simplify the fraction:
To simplify [tex]\(\frac{175}{100}\)[/tex], we need to find the greatest common divisor (GCD) of 175 and 100.
3. Find the GCD of 175 and 100:
The greatest common divisor (GCD) of 175 and 100 is 25.
4. Divide the numerator and the denominator by the GCD:
[tex]\[
\frac{175 \div 25}{100 \div 25} = \frac{7}{4}
\][/tex]
So, the fraction [tex]\(\frac{175}{100}\)[/tex] simplifies to [tex]\(\frac{7}{4}\)[/tex].
Therefore, 175% as a simplified fraction is [tex]\(\frac{7}{4}\)[/tex].
