Convert the following fractions into percentages.
i. \(\frac{22}{100}\)
ii. \(\frac{3}{4}\)
iii. \(\frac{28}{24}\)
Answer (2)
To convert fractions into percentages, divide the numerator by the denominator and multiply by 100. The conversions for the fractions are: 100 22 = 22% , 4 3 = 75% , and 24 28 ≈ 116.67% . This process ensures that all fractions are accurately expressed as percentages.
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To convert fractions to percentages, follow these steps for each fraction:
100 22 :
Since the denominator is already 100, this fraction is already in percent form. Therefore, 100 22 is 22%.
4 3 :
To convert this fraction to a percent, you can multiply by 100.
4 3 × 100 = 75 .
So, 4 3 is equal to 75%.
24 28 :
First, simplify the fraction. Dividing both the numerator and the denominator by 4 gives 6 7 .
To convert 6 7 to a percentage, multiply by 100.
6 7 × 100 ≈ 116.67 (rounded to two decimal places).
Therefore, 24 28 is approximately 116.67%.
Remember, multiplying a fraction by 100 converts it into a percentage. Simplifying the fraction first (if necessary) can make calculations easier. Each fraction represents a part of a whole, and converting it into a percentage shows how large that part would be if the whole were 100 units.
