It's very common when learning about fractions to want to know how convert a fraction like 6/15 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 6/15 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 6/15 is 15, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 15 = 6.6666666666667
Once we have that, we can multiple both the numerator and denominator by this multiple:
6 x 6.6666666666667 / 15 x 6.6666666666667 = 40 / 100
Now we can see that our fraction is 40/100, which means that 6/15 as a percentage is 40%.
We can also work this out in a simpler way by first converting the fraction 6/15 to a decimal. To do that, we simply divide the numerator by the denominator:
6/15 = 0.4
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.4 x 100 = 40%
And there you have it! Two different ways to convert 6/15 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 6/16 as a percentage?
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To get the solution, we are looking for, we need to point out what we know. 1. We assume, that the number 15 is 100% - because it's the output value of the task. 2. We assume, that x is the value we are looking for. 3. If 100% equals 15, so we can write it down as 100%=15. 4. We know, that x% equals 6 of the output value, so we can write it down as x%=6. 5. Now we have two simple equations:1) 100%=152) x%=6where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:100%/x%=15/66. Now we just have to solve the simple equation, and we will get the solution we are looking for.7. Solution for 6 is what percent of 15100%/x%=15/6
(100/x)*x=(15/6)*x - we multiply both sides of the equation by x
100=2.5*x - we divide both sides of the equation by (2.5) to get x100/2.5=x 40=x x=40now we have:
6 is 40% of 15
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6/15*100
= (6*100)/15
= 600/15 = 40
Now we have: 6 is what percent of 15 = 40
Question: 6 is what percent of 15?
Percentage solution with steps:
Step 1: We make the assumption that 15 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 % = 15.
Step 4: In the same vein, x % = 6 .
Step 5: This gives us a pair of simple equations:
100 % = 15(1).
x % = 6(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 % = 15/6
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 6/15
x = 40 %
Therefore, 6 is 40 % of 15.
6 of 15 is 40%
Steps to solve "what percent is 6 of 15?"
- 6 of 15 can be written as:
6/15 - To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100
6/15 × 100/100
- = (6 × 100/15) × 1/100 = 40/100
- Therefore, the answer is 40%
If you are using a calculator, simply enter 6÷15×100 which will give you 40 as the answer.
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