It"s an extremely common once learning around fractions to want to understand how transform a fraction like 28/46 into a percentage. In this step-by-step guide, we"ll show you how to revolve any portion into a percent really easily. Let"s take a look!


Want to quickly learn or display students how to convert 28/46 to a percentage? play this really quick and fun video now!


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

You are watching: 28 out of 46 as a percentage

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

So, since our denominator in 28/46 is 46, us could change the portion to do the denominator 100. To execute that, we divide 100 through the denominator:

100 ÷ 46 = 2.1739130434783

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


28 x 2.1739130434783/46 x 2.1739130434783=60.869565217391/100

Now we can see that our fraction is 60.869565217391/100, which way that 28/46 as a percentage is 60.8696%.

We can also work this out in a simpler means by very first converting the portion 28/46 to a decimal. To perform that, we simply divide the numerator by the denominator:

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

And there you have actually it! Two different ways to transform 28/46 to a percentage. Both room pretty straightforward and also easy to do, yet I personally prefer the convert to decimal an approach as the takes much less steps.

I"ve viewed a most students get perplexed whenever a concern comes up about converting a fraction to a percentage, but if you follow the actions laid out here it need to be simple. The said, you might still need a calculator because that more facility fractions (and friend can constantly use our calculator in the kind below).

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

Hopefully this tutorial has helped you come understand just how to convert a fraction to a percentage. You have the right to now go forth and convert fractions to percentages as much as your tiny heart desires!

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