Convert the following percentages into fractions:
1. 82%
2. 16%
Convert the following fractions into percentages:
1. 22/100
2. 3/4
Answer (2)
To convert percentages to fractions, 82% becomes 50 41 and 16% simplifies to 25 4 . Meanwhile, the fractions 100 22 converts to 22%, and 4 3 converts to 75%. Understanding these conversions helps in comparing measurements and data effectively.
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To solve the question, we need to convert percentages into fractions and fractions into percentages.
Converting Percentages into Fractions:
82%
To convert 82% into a fraction, remember that a percentage is a fraction out of 100. So, 82% can be written as:
100 82
Now, simplify the fraction by finding the greatest common divisor (GCD) of 82 and 100, which is 2. Divide both the numerator and the denominator by 2:
100 ÷ 2 82 ÷ 2 = 50 41
So, 82% as a fraction is 50 41 .
16%
Similar to the steps above, write 16% as a fraction out of 100:
100 16
Simplify the fraction by finding the GCD of 16 and 100, which is 4. Divide both numbers by 4:
100 ÷ 4 16 ÷ 4 = 25 4
Therefore, 16% as a fraction is 25 4 .
Converting Fractions into Percentages:
100 22
To convert a fraction into a percentage, you can multiply the fraction by 100. In this case:
( 100 22 ) × 100 = 22%
So, 100 22 is 22%.
4 3
Again, multiply the fraction by 100 to turn it into a percentage:
( 4 3 ) × 100 = 75%
Therefore, 4 3 is equal to 75%.
These conversions help understand the relationship between percentages and fractions, which is a fundamental skill in Mathematics.
