Q:

What is 64/40 as a percent?

Accepted Solution

A:
Solution: 64/40 as a percent is 160% Methods Method 1 – Converting 64/40 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 64/40, we could say that the value is 64 portions, out of a possible 40 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 40 = 2.5 \frac{100}{40} = 2.5 40 100 ​ = 2.5 We can then adjust the whole fraction using this number, like so: 64 ∗ 2.5 40 ∗ 2.5 = 160 100 \frac{64*2.5}{40*2.5} = \frac{160}{100} 40 ∗ 2.5 64 ∗ 2.5 ​ = 100 160 ​ Reading this as a fraction, we can say that we have 160 portions of a possible 100 portions. Re-writing this as a percentage, we can see that 64/40 as a percentage is 160% Method 2 – Converting 64/40 Into a Percentage Using Decimals: Another way we can convert 64/40 into a percentage is to first convert 64/40 into a decimal. We can do this by simply dividing the numerator by the denominator: 64 40 = 1.6 \frac{64}{40} = 1.6 40 64 ​ = 1.6 Once we have the answer, we can multiply the new decimal by 100 to get the percentage: 1.6 × 100 = 160 As you can see, we get the same answer as the first method and find that 64/40 as a percentage is 160%. Now you know of two different ways to convert 64/40 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 65/42 as a percent? What is 60/19 as a percent? What is 38/18 as a percent? What is 86/35 as a percent? What is 72/68 as a percent?