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Calculatrice de conversion de pourcentage en fraction

Convertir les pourcentages en fractions étape par étape

La calculatrice convertira le pourcentage en une fraction (propre, impropre, nombre mixte), avec les étapes affichées.

Enter a percent or

Your input: %

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Solution

Your input: Convert the percent `25.4%` into fraction.

Recall that "percent" means "per hundred".

Therefore, we can write that `25.4%=(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 `1` digit (to the right of the decimal point), we need to multiply the number by `10^(1)=10` to obtain an integer.

Now, using the equivalence of fractions we can write that

`(25.4)/100=(25.4*color(red)(10))/(100*color(red)(10))=(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 `(254)/(1000)=(127*color(red)(2))/(500*color(red)(2))=(127)/(500)`

Answer: `25.4%= (127)/(500)`