It"s really common when learning about fractions to desire to recognize how convert a fraction like 9/13 into a percentage. In this step-by-step guide, we"ll display you just how to turn any fraction into a portion really easily. Let"s take it a look!


Want to quickly learn or show students just how to convert 9/13 come a percentage? play this very quick and also fun video now!


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

You are watching: What percentage is 9 out of 13

When we are using percentages, what we space really speak is the the percentage is a fraction of 100. "Percent" method per hundred, and so 50% is the very same as saying 50/100 or 5/10 in portion form.

So, because our denominator in 9/13 is 13, we could adjust the portion to do the denominator 100. To perform that, we division 100 by the denominator:

100 ÷ 13 = 7.6923076923077

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


9 x 7.6923076923077/13 x 7.6923076923077=69.230769230769/100

Now we have the right to see the our portion is 69.230769230769/100, which way that 9/13 together a percent is 69.2308%.

We can likewise work this out in a simpler means by first converting the portion 9/13 to a decimal. To perform that, we merely divide the molecule by the denominator:

9/13 = 0.69230769230769

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

And there you have it! Two different ways to transform 9/13 come a percentage. Both space pretty straightforward and also easy to do, yet I personally favor the transform to decimal an approach as that takes less steps.

I"ve viewed a lot of students get puzzled whenever a inquiry comes up around converting a fraction to a percentage, however if you monitor the procedures laid out right here it should be simple. That said, you might still require a calculator for more complex fractions (and you can constantly use our calculator in the form below).

If you desire to practice, grab yourself a pen, a pad, and also a calculator and shot to transform a few fractions to a percent yourself.

Hopefully this tutorial has actually helped you to understand how to transform a fraction to a percentage. You can now go forth and also convert fractions to percentages as much as your little heart desires!

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