Q:

What is 80/96 as a percent?

Accepted Solution

A:
Solution: 80/96 as a percent is 83.333% Methods Method 1 – Converting 80/96 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 80/96, we could say that the value is 80 portions, out of a possible 96 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 96 = 1.042 \frac{100}{96} = 1.042 96 100 ​ = 1.042 We can then adjust the whole fraction using this number, like so: 80 ∗ 1.042 96 ∗ 1.042 = 83.333 100 \frac{80*1.042}{96*1.042} = \frac{83.333}{100} 96 ∗ 1.042 80 ∗ 1.042 ​ = 100 83.333 ​ Reading this as a fraction, we can say that we have 83.333 portions of a possible 100 portions. Re-writing this as a percentage, we can see that 80/96 as a percentage is 83.333% Method 2 – Converting 80/96 Into a Percentage Using Decimals: Another way we can convert 80/96 into a percentage is to first convert 80/96 into a decimal. We can do this by simply dividing the numerator by the denominator: 80 96 = 0.833 \frac{80}{96} = 0.833 96 80 ​ = 0.833 Once we have the answer, we can multiply the new decimal by 100 to get the percentage: 0.833 × 100 = 83.333 As you can see, we get the same answer as the first method and find that 80/96 as a percentage is 83.333%. Now you know of two different ways to convert 80/96 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 20/1 as a percent? What is 17/48 as a percent? What is 26/60 as a percent? What is 86/31 as a percent? What is 49/88 as a percent?