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It's very common when learning about fractions to want to know how convert a fraction like 39/52 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 39/52 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.
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 39/52 is 52, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 52 = 1.9230769230769
Once we have that, we can multiple both the numerator and denominator by this multiple:
39 x 1.9230769230769 / 52 x 1.9230769230769 = 75 / 100
Now we can see that our fraction is 75/100, which means that 39/52 as a percentage is 75%.
We can also work this out in a simpler way by first converting the fraction 39/52 to a decimal. To do that, we simply divide the numerator by the denominator:
39/52 = 0.75
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.75 x 100 = 75%
And there you have it! Two different ways to convert 39/52 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 39/53 as a percentage?
39/52*100
= (39*100)/52
= 3900/52 = 75
Now we have: 39 is what percent of 52 = 75
Question: 39 is what percent of 52?
Percentage solution with steps:
Step 1: We make the assumption that 52 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 52.
Step 4: In the same vein, x % = 39 .
Step 5: This gives us a pair of simple equations:
100 % = 52(1).
x % = 39(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100 % / x % = 52/39
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 39/52
x = 75 %
Therefore, 39 is 75 % of 52.
52/39*100
= (52*100)/39
= 5200/39 = 133.3333
Now we have: 52 is what percent of 39 = 133.3333
Question: 52 is what percent of 39?
Percentage solution with steps:
Step 1: We make the assumption that 39 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 39.
Step 4: In the same vein, x % = 52 .
Step 5: This gives us a pair of simple equations:
100 % = 39(1).
x % = 52(2).
Step 6: By simply
dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100 % / x % = 39/52
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 52/39
x = 133.3333 %
Therefore, 52 is 133.3333 % of 39.
1. 39 is what percent of 52?
39 is 75 percent of 52.
2. How to calculate 39 is what percent of 52?
First we have to divide 39 with 52 and multiply with 100 = (39/52)*100 = (39*100)/52 = 75.