# Percentage-Fraction Conversion

## Percent - Fraction Conversion Table

Percent - Fraction Conversion Table
FractionPercentageFractionPercentage
1/250%
1/333 $\frac{1}{3}$% = 33.33%2/366 $\frac{2}{3}$% = 66.67%
1/425%3/475%
1/520%2/540%
1/616 $\frac{2}{3}$% = 16.67%5/683 $\frac{1}{3}$% = 83.33%
1/714 $\frac{2}{7}$% = 14.28%2/728 $\frac{4}{7}$% = 28.57%
1/812 $\frac{1}{2}$% = 12.5%3/837 $\frac{1}{2}$% = 37.5%
1/911 $\frac{1}{9}$% = 11.11%2/922 $\frac{2}{9}$% = 22.22%
1/1010%3/1030%
1/119 $\frac{1}{11}$% = 9.09%6/1154 $\frac{6}{11}$% = 54.54%
1/128 $\frac{1}{3}$% = 8.33%5/1241 $\frac{2}{3}$% = 41.67%
1/137 $\frac{9}{13}$% = 7.69%2/1315 $\frac{5}{13}$% = 15.38%
1/147 $\frac{1}{7}$% = 7.14%5/1435 $\frac{5}{7}$% = 35.71%
1/156 $\frac{2}{3}$% = 6.67%2/1513 $\frac{1}{3}$% = 13.33%

## Conversion of Fraction into Percentage

We know that: x as a percentage of y = (x/y) × 100%

So, to convert a fraction into a percentage, multiply the fraction by 100 and put ‘%’ sign.

###### Q. Convert 1/2 into percentage

Explanation:

$\frac{1}{2}$ × 100 = 50%
###### Q. Convert 14/5 into percentage

Explanation:

$\frac{14}{5}$ = $\frac{10}{5}$ + $\frac{4}{5}$ = 2 + $\frac{4}{5}$
Now, (2 + $\frac{4}{5}$) × 100 = 200% + 80% = 280%
###### Q. Convert 11/12 into percentage

Explanation:

$\frac{11}{12}$ = 1 - $\frac{1}{12}$
Now, (1 - $\frac{1}{12}$) × 100 = 100% - 8 $\frac{1}{3}$ = (100 – 9) + (1 - $\frac{1}{3}$) = 91 $\frac{2}{3}$ %
(this method will be faster than directly multiplying the percentage value of 1/12 by 11)

## Conversion of Percentage into Fraction

We know that: x as a percentage of y = x/y × 100%

We already have the percentage. We just need to find out 𝑥/𝑦

So, to convert a percentage into a fraction, replace the ‘%’ sign with 1/100 and reduce the fraction to simplest form.

###### Q. Convert 20% into fraction

Explanation:

20% = 20/100 = 1/5
###### Q. Convert 166 $\frac{2}{3}$% into fraction

Explanation:

166 $\frac{2}{3}$% = 100% + 66 $\frac{2}{3}$% = 1 + 2/3 = 5/3
###### Q. Convert 457 $\frac{1}{7}$% into fraction

Explanation:

457 $\frac{1}{7}$% = 400% + 57 $\frac{1}{7}$% = 4 + 4/7 = 32/7
###### Q. Calculate 25% of 80

Explanation:

Using Percentage-Fraction Conversion method:
25% = 1/4
So, 25% of 80 = 80/4 = 20
###### Q. Calculate 14.28% of 63

Explanation:

Using Percentage-Fraction Conversion method:
14.28% = 1/7
So, 14.28% of 63 = 63/7 = 9
###### Q. Calculate 20.5% of 1455 – 13.33% of 915

Explanation:

20% of 1455 = 145.5 + 145.5 = 291
0.5% of 1455 = 7.275
So, 20.5% of 1455 = 291 + 7.275 = 298.275

13.33% = 2/15
So, 13.33% of 915 = (915 × 2)/15 = 122

20.5% of 1455 – 13.33% of 915 = 298.275 – 122 = 176.275

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