Method

Converting a Percent Into a Mixed Number

It is possible to convert a percent into a mixed number and the other way around. Keep in mind that if a percent less than 100 % is converted into a fraction, then the result is a proper fraction. This means that it only makes sense to convert percents greater than 100 % into mixed numbers. Consider the following percent. 234 % This percent can be rewritten into a mixed number by following three steps.

Write the Percent as a Fraction With 100 as Denominator

Recall that a percent is the ratio of a number to 100. Start by writing the percent as a fraction whose numerator is the number part of the percent and whose denominator is 100. 234 % = 234/100

Divide the Numerator by the Denominator

Divide the numerator by the denominator to rewrite the improper fraction 234100 as a mixed number. Use long division to find the quotient and remainder.

The quotient is 2 and the remainder is 34. Write the quotient 2 as the integer part of the mixed number and the remainder 34 as the numerator of the fraction part. Remember that the denominator of the fraction part is the same as the denominator of the improper fraction, 100. 234/100= 2 34 100

Simplify the Fraction Part

The final step is to simplify the fraction part. Find the gretest common factor (GCF) of the numerator and denominator by splitting 34 and 100 into prime factors. 34 &= 2* 17 100 &= 2* 2* 5* 5 The numbers share only one common factor, 2. This means that 2 is the GCF of 34 and 100. Divide the numerator and the denominator by 2.

34/100

ReduceFrac

a/b=.a /2./.b /2.

34 ÷ 2/100 ÷ 2

CalcQuot

Calculate quotient

17/50

Finally, the mixed number that corresponds to 234 % can be written. 234 % =2 1750

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