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8 grade maths

How do you convert 28% into a fraction and decimal?

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To convert 28% into a fraction and a decimal, follow these steps:

1. Convert 28% to a fraction:

Percentage means "out of 100". So, 28% can be written as: 28% = 28/100

Now, simplify the fraction. To simplify, find the greatest common divisor (GCD) of 28 and 100. The GCD of 28 and 100 is 4. Now, divide both the numerator and the denominator by 4: 28 ÷ 4 = 7 100 ÷ 4 = 25

So, 28% as a simplified fraction is: 28% = 7/25

2. Convert 28% to a decimal:

To convert a percentage to a decimal, divide the percentage by 100. So, divide 28 by 100: 28 ÷ 100 = 0.28

Thus, 28% as a decimal is: 28% = 0.28

Summary:

As a fraction: 7/25
As a decimal: 0.28