Write each percent as a fraction in simplest form:

1. 45%
2. 62%
3. 68%
4. 2%

To make a percent into a fraction you:

Set the percentage up as a fraction by putting it over 100 (represents 100 percent).

Simplify the fraction by dividing both the numerator and denominator by the greatest common factor of each.



45% Factors of 45: 1, 3, 5, 9, 15, 45 Factors of 100: 1, 2, 3, 4, 5, 10, 20, 25, 50, 100
GCF = 5
100 45 ​ = 20 9 ​
62% Factors of 62: 1, 2, 62 Factors of 100: 1, 2, 3, 4, 5, 10, 20, 25, 50, 100
GCF = 2 100 62 ​ = 50 31 ​
68% Factors of 68: 1, 2, 4, 68 Factors of 100: 1, 2, 3, 4, 5, 10, 20, 25, 50, 100
GCF = 4
100 68 ​ = 25 17 ​
2% Factors of 2: 1, 2 Factors of 100: 1, 2, 3, 4, 5, 10, 20, 25, 50, 100 GCF = 2
100 2 ​ = 50 1 ​

Answered by BNar7191 | 2024-06-10

Percentages are really just fractions out of 100. So 45% is really just 45/100. If you want to find the lowest fractions, you have to break each number up into prime factors and see which overlap. So:
45 = 9x5 = 3 x 3 x 5 100 = 2 x 50 = 2 x 5 x 10 = 2 x 5 x 2 x 5
So 45/100 = 3x3x5/2x2x5x5
Now because there's a 5 on both sides, we can cancel down. If we do, that leaves us with
3x3/2x2x5
Which is 9/20

Answered by Clock | 2024-06-10

To convert a percent to a fraction, you write it over 100 and simplify. For the given percentages, the simplest form fractions are: 45% = 20 9 ​ , 62% = 50 31 ​ , 68% = 25 17 ​ , and 2% = 50 1 ​ . These fractions represent the percentages in simplest form.
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Answered by BNar7191 | 2024-12-26