It"s an extremely common once learning around fractions to desire to understand how convert a fraction like 45/75 into a percentage. In this step-by-step guide, we"ll present you just how to rotate any portion into a percent really easily. Let"s take a look!


Want to quickly learn or present students just how to transform 45/75 come a percentage? beat this really quick and also fun video clip now!


Before we gain started in the portion to portion conversion, let"s go over some very quick portion basics. Remember that a numerator is the number over the portion line, and also the denominator is the number listed below the portion line. We"ll use this later on in the tutorial.

You are watching: 45 is what percent of 75

When we room using percentages, what we room really saying is that the portion 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 45/75 is 75, we could adjust the fraction to do the denominator 100. To execute that, we division 100 through the denominator:

100 ÷ 75 = 1.3333333333333

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


45 x 1.3333333333333/75 x 1.3333333333333=60/100

Now we can see the our fraction is 60/100, which method that 45/75 as a percentage is 60%.

We can likewise work this out in a simpler method by an initial converting the fraction 45/75 to a decimal. To carry out that, we merely divide the numerator by the denominator:

45/75 = 0.6

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

0.6 x 100 = 60%

And over there you have actually it! Two various ways to transform 45/75 come a percentage. Both space pretty straightforward and also easy to do, however I personally prefer the convert to decimal an approach as the takes less steps.

I"ve viewed a most students get puzzled whenever a inquiry comes up around converting a fraction to a percentage, but if you monitor the measures laid out below it have to be simple. The said, you might still require a calculator because that more complex fractions (and friend can always use ours calculator in the form below).

If you want to practice, grab yourself a pen, a pad, and also a calculator and shot to transform a couple of fractions come a percent yourself.

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

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