What is 49/55 as a percent?

Accepted Solution

Solution: 49/55 as a percent is 89.091% Methods Method 1 – Converting 49/55 Into a Percentage: First, let’s go over what a fraction represents. The number above the line is called the numerator, while the number below the line is called the denominator. The fraction shows how many portions of the number there are, in relation to how many would make up the whole. For instance, in the fraction 49/55, we could say that the value is 49 portions, out of a possible 55 portions to make up the whole. For percentages, the difference is that we want to know how many portions there are if there are 100 portions possible. “Percent” means “per hundred”. For example, if we look at the percentage 25%, that means we have 25 portions of the possible 100 portions. Re-writing this in fraction form, we see 25/100. The first step in converting a fraction to a percentage is to adjust the fraction so that the denominator is 100. To do this, you first divide 100 by the denominator: 100 55 = 1.818 \frac{100}{55} = 1.818 55 100 ​ = 1.818 We can then adjust the whole fraction using this number, like so: 49 ∗ 1.818 55 ∗ 1.818 = 89.091 100 \frac{49*1.818}{55*1.818} = \frac{89.091}{100} 55 ∗ 1.818 49 ∗ 1.818 ​ = 100 89.091 ​ Reading this as a fraction, we can say that we have 89.091 portions of a possible 100 portions. Re-writing this as a percentage, we can see that 49/55 as a percentage is 89.091% Method 2 – Converting 49/55 Into a Percentage Using Decimals: Another way we can convert 49/55 into a percentage is to first convert 49/55 into a decimal. We can do this by simply dividing the numerator by the denominator: 49 55 = 0.891 \frac{49}{55} = 0.891 55 49 ​ = 0.891 Once we have the answer, we can multiply the new decimal by 100 to get the percentage: 0.891 × 100 = 89.091 As you can see, we get the same answer as the first method and find that 49/55 as a percentage is 89.091%. Now you know of two different ways to convert 49/55 into a percentage! While converting using a decimal takes fewer steps, you first need to master converting fractions into decimals. Try out both methods and see which one works best for you! Practice more percentage problems! Practice makes perfect so why not check out some of other problems where you can convert a fraction to a percentage? What is 73/71 as a percent? What is 86/91 as a percent? What is 79/19 as a percent? What is 36/13 as a percent? What is 12/14 as a percent?