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Percentage naar breuk rekenmachine

Zet procenten om in breuken stap voor stap

De rekenmachine zet het percentage om in een breuk (eigen breuk, oneigen breuk, gemengd getal), waarbij de stappen worden getoond.

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)`