It"s very common as soon as learning around fractions to want to know how convert a fraction like 7/24 right into a percentage. In this step-by-step guide, we"ll present you exactly how to revolve any portion into a portion really easily. Let"s take a look!


Want to easily learn or display students how to convert 7/24 come a percentage? beat this very quick and also fun video clip now!


Before we obtain started in the portion to percentage conversion, let"s go over some really quick fraction basics. Remember the a numerator is the number above the portion line, and the denominator is the number listed below the fraction line. We"ll use this later on in the tutorial.

You are watching: 7/24 as a percentage

When we room using percentages, what we space really saying is that the percentage is a portion of 100. "Percent" means per hundred, and also so 50% is the exact same as saying 50/100 or 5/10 in fraction form.

So, because our denominator in 7/24 is 24, us could adjust the portion to make the denominator 100. To perform that, we divide 100 by the denominator:

100 ÷ 24 = 4.1666666666667

Once we have actually that, we deserve to multiple both the numerator and also denominator by this multiple:


7 x 4.1666666666667/24 x 4.1666666666667=29.166666666667/100

Now we deserve to see that our portion is 29.166666666667/100, which way that 7/24 together a percentage is 29.1667%.

We can likewise work this out in a simpler method by first converting the portion 7/24 to a decimal. To carry out that, we simply divide the numerator by the denominator:

7/24 = 0.29166666666667

Once we have actually the answer to that division, we have the right to multiply the price by 100 to make it a percentage:

0.29166666666667 x 100 = 29.1667%

And there you have actually it! Two various ways to transform 7/24 come a percentage. Both room pretty straightforward and easy to do, but I personally choose the transform to decimal method as it takes less steps.

I"ve checked out a most students get puzzled whenever a concern comes up around converting a fraction to a percentage, but if you monitor the steps laid out below it need to be simple. That said, you may still need a calculator for more complex fractions (and girlfriend can constantly use ours calculator in the kind below).

If you desire to practice, grab yourself a pen, a pad, and also a calculator and shot to transform a couple of fractions to a portion yourself.

Hopefully this tutorial has actually helped you come understand how to transform a portion to a percentage. You can now walk forth and also convert fountain to percentages as lot as your little heart desires!

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