Percents

Method

Converting a Mixed Number Into a Percent

It is possible to convert a mixed number into a percent and the other way around. Consider the following mixed number. 7 29 This mixed number can be rewritten into a percent by following three steps.

1
Convert the Fraction Part to a Decimal
expand_more
The fraction part of 7 29 is 29. To rewrite it as a decimal, divide the numerator 2 by the denominator 9 by using long division.

The long division of 2 over 9

The quotient is approximately 0.22. Note that it is often enough to divide to two decimal places.

2
Add the Decimal to the Integer Part
expand_more
The integer part of the mixed number is 7. In the previous step, the fraction part 29 was rewritten as the decimal number 0.22. Add the integer part and the decimal part. 7+0.22=7.22 The mixed number can be written as the decimal number 7.22.
3
Convert the Decimal to a Percent
expand_more
Rewrite the decimal as a percent by multiplying it by 100 and adding a percent sign. 7.22* 100=722 % Therefore, 7 29 corresponds to 722 %.

Exercises
Edit Lesson