Q:

What is 59/26 as a percent?

Accepted Solution

A:
Solution: 59/26 as a percent is 226.923% Methods Method 1 – Converting 59/26 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 59/26, we could say that the value is 59 portions, out of a possible 26 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 26 = 3.846 \frac{100}{26} = 3.846 26 100 ​ = 3.846 We can then adjust the whole fraction using this number, like so: 59 ∗ 3.846 26 ∗ 3.846 = 226.923 100 \frac{59*3.846}{26*3.846} = \frac{226.923}{100} 26 ∗ 3.846 59 ∗ 3.846 ​ = 100 226.923 ​ Reading this as a fraction, we can say that we have 226.923 portions of a possible 100 portions. Re-writing this as a percentage, we can see that 59/26 as a percentage is 226.923% Method 2 – Converting 59/26 Into a Percentage Using Decimals: Another way we can convert 59/26 into a percentage is to first convert 59/26 into a decimal. We can do this by simply dividing the numerator by the denominator: 59 26 = 2.269 \frac{59}{26} = 2.269 26 59 ​ = 2.269 Once we have the answer, we can multiply the new decimal by 100 to get the percentage: 2.269 × 100 = 226.923 As you can see, we get the same answer as the first method and find that 59/26 as a percentage is 226.923%. Now you know of two different ways to convert 59/26 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 57/64 as a percent? What is 97/24 as a percent? What is 45/16 as a percent? What is 84/60 as a percent? What is 14/80 as a percent?