Calcolatrice da percentuale a frazione

Your input: Convert the percent $\displaystyle{\large{{25.4}\%}}$ into fraction.

Recall that "percent" means "per hundred".

Therefore, we can write that $\displaystyle{\large{{25.4}\%=\frac{{{25.4}}}{{100}}}}$

As can be seen, the number in the numerator has a decimal part. We need to get rid of it.

Since the decimal part contains $\displaystyle{\large{{1}}}$ digit (to the right of the decimal point), we need to multiply the number by $\displaystyle{\large{{{10}}^{{{1}}}={10}}}$ to obtain an integer.

Now, using the equivalence of fractions we can write that

$\displaystyle{\large{\frac{{{25.4}}}{{100}}=\frac{{{25.4}\cdot{\color{red}{{{10}}}}}}{{{100}\cdot{\color{red}{{{10}}}}}}=\frac{{{254}}}{{{1000}}}}}$

Next, try to reduce the fraction.

Since the greatest common divisor of the numerator and the denominator equals 2, we can write that $\displaystyle{\large{\frac{{{254}}}{{{1000}}}=\frac{{{127}\cdot{\color{red}{{{2}}}}}}{{{500}\cdot{\color{red}{{{2}}}}}}=\frac{{{127}}}{{{500}}}}}$

Answer: $\displaystyle{\large{{25.4}\%=\frac{{{127}}}{{{500}}}}}$