Q:

What is 26/96 as a percent?

Accepted Solution

A:
Solution: 26/96 as a percent is 27.083% Methods Method 1 – Converting 26/96 Into a Percentage: In a fraction, we can see how many β€œpieces” of a number are present (in the numerator) compared to how many pieces would make up the whole (the denominator). β€œPercent” means β€œper hundred”, which is like asking the question β€œhow many pieces would there be if there were 100 pieces possible?” For example, if we look at the percentage 50%, that means we have 50 pieces of the possible 100. Re-writing this in fraction form, we see 50/100. We can start the process of converting a fraction into a percent, by figuring out how to adjust the fraction so that the denominator will be 100. First, divide 100 by the denominator: 100 96 = 1.042 \frac{100}{96} = 1.042 96 100 ​ = 1.042 Then we can multiply both the numerator and denominator by this number: 26 βˆ— 1.042 96 βˆ— 1.042 = 27.083 100 \frac{26*1.042}{96*1.042} = \frac{27.083}{100} 96 βˆ— 1.042 26 βˆ— 1.042 ​ = 100 27.083 ​ This works because multiplying both the numerator and the denominator by the same number is like multiplying it by 1. (1.042 / 1.042 = 1) Re-writing the result as a percentage, we can see that 26/96 as a percentage is 27.083%. Method 2 – Converting 26/96 Into a Percentage Using Decimals: Another common way to convert a fraction into a percentage is to first convert the fraction into a decimal. To convert 26/96 into a percentage, you would first convert 26/96 into a decimal by dividing the numerator by the denominator: 26 96 = 0.271 \frac{26}{96} = 0.271 96 26 ​ = 0.271 Once you have converted the fraction into a decimal, you can simply multiply by 100 to get the percentage: 0.271 x 100 = 27.083 And there you go! Now we can see that 26/96 as a percentage is 27.083%, the same way we did with the first method. Now you know of two ways you can convert 26/96 into a percentage. The best way to master these methods is to practice! Grab a pencil and paper, and come up with some of your own fractions, and become a master at converting them into percentages! Practice more percentage conversion problems With a just a few more problems, you could become a pro at converting fractions to percentages. You can try some more right now! What is 57/33 as a percent? What is 53/62 as a percent? What is 77/9 as a percent? What is 78/44 as a percent? What is 45/83 as a percent?