Q:

What is 71/7 as a percent?

Accepted Solution

A:
Solution: 71/7 as a percent is 1014.286% Methods Method 1 – Converting 71/7 Into a Percentage: In a fraction, we can see how many β€œpieces” of a number are present (in the numerator) compared to how many pieces would make up the whole (the denominator). β€œPercent” means β€œper hundred”, which is like asking the question β€œhow many pieces would there be if there were 100 pieces possible?” For example, if we look at the percentage 50%, that means we have 50 pieces of the possible 100. Re-writing this in fraction form, we see 50/100. We can start the process of converting a fraction into a percent, by figuring out how to adjust the fraction so that the denominator will be 100. First, divide 100 by the denominator: 100 7 = 14.286 \frac{100}{7} = 14.286 7 100 ​ = 14.286 Then we can multiply both the numerator and denominator by this number: 71 βˆ— 14.286 7 βˆ— 14.286 = 1014.286 100 \frac{71*14.286}{7*14.286} = \frac{1014.286}{100} 7 βˆ— 14.286 71 βˆ— 14.286 ​ = 100 1014.286 ​ This works because multiplying both the numerator and the denominator by the same number is like multiplying it by 1. (14.286 / 14.286 = 1) Re-writing the result as a percentage, we can see that 71/7 as a percentage is 1014.286%. Method 2 – Converting 71/7 Into a Percentage Using Decimals: Another common way to convert a fraction into a percentage is to first convert the fraction into a decimal. To convert 71/7 into a percentage, you would first convert 71/7 into a decimal by dividing the numerator by the denominator: 71 7 = 10.143 \frac{71}{7} = 10.143 7 71 ​ = 10.143 Once you have converted the fraction into a decimal, you can simply multiply by 100 to get the percentage: 10.143 x 100 = 1014.286 And there you go! Now we can see that 71/7 as a percentage is 1014.286%, the same way we did with the first method. Now you know of two ways you can convert 71/7 into a percentage. The best way to master these methods is to practice! Grab a pencil and paper, and come up with some of your own fractions, and become a master at converting them into percentages! Practice more percentage conversion problems With a just a few more problems, you could become a pro at converting fractions to percentages. You can try some more right now! What is 12/80 as a percent? What is 59/13 as a percent? What is 35/47 as a percent? What is 97/10 as a percent? What is 58/17 as a percent?