Delve into the art of converting numbers for clarity and precision!
How to Transform a Percentage into a Fraction:
f = 10^{d}
Example:
f = 10^{2} = 100
x × f / f = y / f
Example:
2.56 × 100 / 100 = 256 / 100
Example:
gcd(256,100) = 4
Example:
256 / 100 = (256/4) / (100/4) = 64/25
One percent is equal to one hundredth:
1% = 1/100
So in order to convert percent to fraction, divide the percent by 100% and reduce the fraction.
For example 56% is equal to 56/100 with gcd=4 is equal to 14/25:
56% = 56/100 = 14/25
Percent | Fraction |
---|---|
1% | 1/100 |
10% | 1/10 |
11.11% | 1/9 |
12.5% | 1/8 |
14.29% | 1/7 |
16.67% | 1/6 |
20% | 1/5 |
22.22% | 2/9 |
25% | 1/4 |
28.57% | 2/7 |
30% | 3/10 |
33.33% | 1/3 |
37.5% | 3/8 |
40% | 2/5 |
42.86% | 3/7 |
44.44% | 4/9 |
50% | 1/2 |
55.56% | 5/9 |
57.14% | 4/7 |
62.5% | 5/8 |
66.67% | 2/3 |
60% | 3/5 |
70% | 7/10 |
71.43 | 5/7 |
75% | 3/4 |
77.78% | 7/9 |
80% | 4/5 |
83.33 | 5/6 |
85.71 | 6/7 |
87.5% | 7/8 |
88.89% | 8/9 |
90% | 9/10 |
The initial step involves dividing the percentage by 100 to obtain a decimal. This decimal representation will then be used to derive the corresponding fraction.