It"s very common when learning about fractions to want to know how convert a fraction like 45/80 into a percentage. In this step-by-step guide, we"ll show you how to turn any fraction into a percentage really easily. Let"s take a look!
Want to quickly learn or show students how to convert 45/80 to a percentage? Play this very quick and fun video now!
Before we get started in the fraction to percentage conversion, let"s go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We"ll use this later in the tutorial.
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When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.
So, since our denominator in 45/80 is 80, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 80 = 1.25
Once we have that, we can multiple both the numerator and denominator by this multiple:
45 x 1.25/80 x 1.25=56.25/100
Now we can see that our fraction is 56.25/100, which means that 45/80 as a percentage is 56.25%.
We can also work this out in a simpler way by first converting the fraction 45/80 to a decimal. To do that, we simply divide the numerator by the denominator:
45/80 = 0.5625
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.5625 x 100 = 56.25%
And there you have it! Two different ways to convert 45/80 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.
I"ve seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).
If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself.
Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires!
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"What is 45/80 as a percentage?". gimpppa.org. Accessed on October 27, 2021. https://gimpppa.org/calculator/fraction-as-percentage/what-is-45-80-as-a-percentage/.
"What is 45/80 as a percentage?". gimpppa.org, https://gimpppa.org/calculator/fraction-as-percentage/what-is-45-80-as-a-percentage/. Accessed 27 October, 2021.
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What is 45/80 as a percentage?. gimpppa.org. Retrieved from https://gimpppa.org/calculator/fraction-as-percentage/what-is-45-80-as-a-percentage/.