Q:

What is 65/42 as a percent?

Accepted Solution

A:
Solution: 65/42 as a percent is 154.762% Methods Method 1 – Converting 65/42 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 65/42, we could say that the value is 65 portions, out of a possible 42 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 42 = 2.381 \frac{100}{42} = 2.381 42 100 ​ = 2.381 We can then adjust the whole fraction using this number, like so: 65 ∗ 2.381 42 ∗ 2.381 = 154.762 100 \frac{65*2.381}{42*2.381} = \frac{154.762}{100} 42 ∗ 2.381 65 ∗ 2.381 ​ = 100 154.762 ​ Reading this as a fraction, we can say that we have 154.762 portions of a possible 100 portions. Re-writing this as a percentage, we can see that 65/42 as a percentage is 154.762% Method 2 – Converting 65/42 Into a Percentage Using Decimals: Another way we can convert 65/42 into a percentage is to first convert 65/42 into a decimal. We can do this by simply dividing the numerator by the denominator: 65 42 = 1.548 \frac{65}{42} = 1.548 42 65 ​ = 1.548 Once we have the answer, we can multiply the new decimal by 100 to get the percentage: 1.548 × 100 = 154.762 As you can see, we get the same answer as the first method and find that 65/42 as a percentage is 154.762%. Now you know of two different ways to convert 65/42 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 37/14 as a percent? What is 88/13 as a percent? What is 20/25 as a percent? What is 33/6 as a percent? What is 91/36 as a percent?