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What is 3/4 as a percentage?

To express the fraction 34\frac{3}{4} as a percentage, we find that it is equal to 75%75\%.

To convert a fraction to a percentage, the process involves multiplying the fraction by 100100. This is because the term “percent” means “per hundred,” which allows us to determine how many parts of 100100 the fraction represents. For the fraction 34\frac{3}{4}, the calculation is as follows:

34×100=75\frac{3}{4} \times 100 = 75

Thus, we conclude that 34\frac{3}{4} is equivalent to 75%75\%.

Another approach to understand this conversion is through division. If you divide 33 by 44, the result is 0.750.75. To convert a decimal into a percentage, you multiply it by 100100. Therefore, multiplying 0.750.75 by 100100 also yields 75%75\%:

0.75×100=750.75 \times 100 = 75

This method of conversion is applicable to any fraction. For instance, consider the fraction 12\frac{1}{2}. To convert it to a percentage, you would multiply 11 by 100100 and then divide by 22, resulting in 50%50\%:

12×100=50\frac{1}{2} \times 100 = 50

Similarly, for the fraction 15\frac{1}{5}, you would multiply 11 by 100100 and then divide by 55, which gives you 20%20\%:

15×100=20\frac{1}{5} \times 100 = 20

Mastering the conversion of fractions to percentages is a valuable skill across various fields of mathematics, including probability, statistics, and in practical situations such as calculating discounts or interest rates.

Answered by: Prof. Peter Brown
IB Maths Tutor
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