It"s very common once learning around fractions to desire to know how convert a portion like 5/35 into a percentage. In this step-by-step guide, we"ll present you exactly how to rotate any fraction into a percentage really easily. Let"s take a look!
Want to easily learn or show students exactly how to convert 5/35 come a percentage? play this very quick and fun video clip now!
Before we get started in the portion to percentage conversion, let"s walk over some an extremely quick portion basics. Remember the a molecule is the number above the portion line, and also the denominator is the number below the fraction line. We"ll usage this later in the tutorial.
You are watching: 5 is what percent of 35
When we room using percentages, what we space really speak is that the portion is a fraction of 100. "Percent" way per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.
So, since our denominator in 5/35 is 35, we could readjust the portion to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 35 = 2.8571428571429
Once we have that, we have the right to multiple both the numerator and denominator through this multiple:
5 x 2.8571428571429/35 x 2.8571428571429=14.285714285714/100
Now we can see the our fraction is 14.285714285714/100, which way that 5/35 as a percent is 14.2857%.
We can additionally work this out in a simpler way by first converting the fraction 5/35 to a decimal. To carry out that, we merely divide the numerator by the denominator:
5/35 = 0.14285714285714
Once we have actually the price to that division, we deserve to multiply the answer by 100 to make it a percentage:
0.14285714285714 x 100 = 14.2857%
And there you have actually it! Two various ways to transform 5/35 come a percentage. Both space pretty straightforward and easy to do, however I personally prefer the transform to decimal an approach as that takes much less steps.
I"ve seen a the majority of students get puzzled whenever a concern comes up about converting a portion to a percentage, however if you monitor the measures laid out below it should be simple. That said, you might still need a calculator for more complex fractions (and friend can always use ours calculator in the kind below).
If you desire to practice, grab you yourself a pen, a pad, and also a calculator and try to transform a few fractions come a percent yourself.
Hopefully this tutorial has helped you to understand just how to convert a fraction to a percentage. You have the right to now walk forth and also convert fractions to percentages as lot as your small heart desires!
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