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Converting Fractional Numbers to Percentage

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Converting Fractional Numbers to Percentage:

  • Fractional numbers can have different denominators. To compare fractional numbers, we need a common denominator and we have seen that it is more convenient to compare if our denominator is 100. That is, we are converting the fractions to Percentages.

  • The percentages related to proper fractions are less than 100 whereas percentages related to improper fractions are more than 100.

  • For example, `1/4 = 1/4 xx 100% `.

Example

Write `1/3` as a percent.

`1/3 = 1/3 × 100/100 = 1/3 × 100% = 100/3% = 33 1/3 %`

Example

Convert `5/4` to percent.

`5/4 = 5/4 xx 100% = 125%`.

Example

Convert `2/40` to percent.

`2/40 = 1/20 = (1 xx 5)/(20 xx 5) = 5/100 = 5%`

Example

Out of 25 children in a class, 15 are girls. What is the percentage of girls?

Out of 25 children, there are 15 girls.

Therefore, percentage of girls = `15/25 xx 100 = 60`.

There are 60% girls in the class.

Example

Out of 32 students, 8 are absent. What percent of the students are absent?

`8/32 = 1/4 = (1 xx 25)/(4 xx 25) = 25/100 = 25%`.

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