It"s really common when learning around fractions to desire to understand how transform a fraction like 45/100 into a percentage. In this step-by-step guide, we"ll show you just how to rotate any fraction into a percent really easily. Let"s take it a look!


Want to easily learn or show students exactly how to transform 45/100 come a percentage? pat this an extremely quick and fun video now!


Before we gain started in the fraction to percent conversion, let"s walk over some very quick fraction basics. Remember that a molecule is the number above the fraction line, and also the denominator is the number below the fraction line. We"ll usage this later in the tutorial.

You are watching: What is 45/100 as a percentage

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

Note: the denominator is currently 100 in this case, which method that the numerator is currently the percent for this fraction. Because of this the portion 45/100 together a portion is 45%.

However, it"s still helpful for us to look at at just how we can transform a portion to a decimal, for this reason we"ll continue with this article and also explain it action by step, also though technically we already have the answer!

So, because our denominator in 45/100 is 100, us could readjust the fraction to make the denominator 100. To execute that, we divide 100 by the denominator:

100 ÷ 100 = 1

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


45 x 1/100 x 1=45/100

Now we deserve to see the our portion is 45/100, which method that 45/100 as a percent is 45%.

We can likewise work this the end in a simpler means by first converting the portion 45/100 to a decimal. To execute that, we just divide the numerator by the denominator:

45/100 = 0.45

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

0.45 x 100 = 45%

And there you have it! Two different ways to convert 45/100 come a percentage. Both room pretty straightforward and easy to do, however I personally favor the transform to decimal method as it takes less steps.

I"ve watched a many students get confused whenever a inquiry comes up about converting a fraction to a percentage, but if you monitor the procedures laid out here it have to be simple. That said, you might still require a calculator because that more complex fractions (and you can constantly use our calculator in the type below).

If you desire to practice, grab you yourself a pen, a pad, and also a calculator and shot to convert a few fractions come a portion yourself.

Hopefully this tutorial has helped you come understand exactly how to transform a portion to a percentage. You have the right to now go forth and also convert fractions to percentages as lot as your tiny heart desires!

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