It"s really common when learning around fractions to desire to know how convert a fraction like 7/15 into a percentage. In this step-by-step guide, we"ll show you exactly how to revolve any portion into a percentage really easily. Let"s take a look!
Want to conveniently learn or show students how to transform 7/15 to a percentage? play this very quick and also fun video clip now!
Before we gain started in the portion to percent conversion, let"s walk over some very quick portion basics. Remember that a molecule is the number over the fraction line, and the denominator is the number listed below the fraction line. We"ll usage this later in the tutorial.
You are watching: What is 7 15 as a percent
When we room using percentages, what we space really saying is that the portion is a fraction of 100. "Percent" way per hundred, and also so 50% is the same as speak 50/100 or 5/10 in fraction form.
So, because our denominator in 7/15 is 15, we could adjust the fraction to make the denominator 100. To carry out that, we divide 100 by the denominator:
100 ÷ 15 = 6.6666666666667
Once we have that, we deserve to multiple both the numerator and also denominator by this multiple:
7 x 6.6666666666667/15 x 6.6666666666667=46.666666666667/100
Now we deserve to see the our fraction is 46.666666666667/100, which method that 7/15 as a percentage is 46.6667%.
We can likewise work this the end in a simpler means by very first converting the fraction 7/15 to a decimal. To perform that, we just divide the numerator by the denominator:
7/15 = 0.46666666666667
Once we have actually the answer to that division, we deserve to multiply the answer by 100 to do it a percentage:
0.46666666666667 x 100 = 46.6667%
And over there you have actually it! Two various ways to convert 7/15 come a percentage. Both room pretty straightforward and easy come do, however I personally favor the transform to decimal technique as that takes much less steps.
I"ve checked out a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you monitor the steps laid out right here it must be simple. The said, you might still require a calculator for more complex fractions (and you can constantly use our calculator in the form below).
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If you desire to practice, grab you yourself a pen, a pad, and a calculator and try to transform a couple of fractions to a percentage yourself.
Hopefully this tutorial has actually helped you come understand just how to convert a portion to a percentage. You have the right to now go forth and also convert fractions to percentages as much as your little heart desires!
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