Percentage-Fraction Conversion

Percent - Fraction Conversion Table

Percent - Fraction Conversion Table
Fraction	Percentage	Fraction	Percentage
1/2	50%
1/3	33 $\frac{1}{3}$ % = 33.33%	2/3	66 $\frac{2}{3}$ % = 66.67%
1/4	25%	3/4	75%
1/5	20%	2/5	40%
1/6	16 $\frac{2}{3}$ % = 16.67%	5/6	83 $\frac{1}{3}$ % = 83.33%
1/7	14 $\frac{2}{7}$ % = 14.28%	2/7	28 $\frac{4}{7}$ % = 28.57%
1/8	12 $\frac{1}{2}$ % = 12.5%	3/8	37 $\frac{1}{2}$ % = 37.5%
1/9	11 $\frac{1}{9}$ % = 11.11%	2/9	22 $\frac{2}{9}$ % = 22.22%
1/10	10%	3/10	30%
1/11	9 $\frac{1}{11}$ % = 9.09%	6/11	54 $\frac{6}{11}$ % = 54.54%
1/12	8 $\frac{1}{3}$ % = 8.33%	5/12	41 $\frac{2}{3}$ % = 41.67%
1/13	7 $\frac{9}{13}$ % = 7.69%	2/13	15 $\frac{5}{13}$ % = 15.38%
1/14	7 $\frac{1}{7}$ % = 7.14%	5/14	35 $\frac{5}{7}$ % = 35.71%
1/15	6 $\frac{2}{3}$ % = 6.67%	2/15	13 $\frac{1}{3}$ % = 13.33%

Conversion of Fraction into Percentage

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

We already have a fraction, i.e. we already know 𝑥/𝑦

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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Last updated on Sep 10, 2020

Percentage-Fraction Conversion

Percent - Fraction Conversion Table

Conversion of Fraction into Percentage

Q. Convert 1/2 into percentage

Q. Convert 14/5 into percentage

Q. Convert 11/12 into percentage

Conversion of Percentage into Fraction

Q. Convert 20% into fraction

Q. Convert 166 23% into fraction

Q. Convert 457 17% into fraction

Q. Calculate 25% of 80

Q. Calculate 14.28% of 63

Q. Calculate 20.5% of 1455 – 13.33% of 915

Q. Convert 166 $\frac{2}{3}$ % into fraction

Q. Convert 457 $\frac{1}{7}$ % into fraction