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Question

How do you convert 3/5 into a percent and decimal?

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Solution

35=0.6=60%

Explanation:

To convert a fraction into a decimal, it is always better to look at the denominator first. If the denominator has only 2 and 5 as prime factors, one can easily select a number multiplying the denominator by which convert it into a denominator, which is a power of 10, and the result will be a limiting decimal. In case it has a prime factor other than 2 and 5, conversion to decimal could be longer and will result in an unending but repeating decimal.

In the instant case, as the denominator is 5, we can easily convert it into a decimal by multiplying denominator and numerator by 2.

Hence 35=3×25×2=610=0.6

To convert the fraction to percent, one needs to just multiply it by 100 and write % sign against the result.

As 35=0.6 it is 0.6×100=60%



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