It"s very common when learning about fractions to desire to recognize how convert a fraction like 3/40 into a percentage. In this step-by-step guide, we"ll present you exactly how to revolve any portion into a percent really easily. Let"s take it a look!


Want to conveniently learn or display students just how to transform 3/40 to a percentage? beat this very quick and also fun video clip now!


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

You are watching: 3/40 as a percent

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

So, since our denominator in 3/40 is 40, us could change the portion to make the denominator 100. To do that, we division 100 by the denominator:

100 ÷ 40 = 2.5

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


3 x 2.5/40 x 2.5=7.5/100

Now we have the right to see that our portion is 7.5/100, which way that 3/40 as a percent is 7.5%.

We can additionally work this the end in a simpler way by an initial converting the portion 3/40 come a decimal. To carry out that, we merely divide the numerator by the denominator:

3/40 = 0.075

Once we have the prize to the division, we deserve to multiply the prize by 100 to do it a percentage:

0.075 x 100 = 7.5%

And there you have it! Two different ways to convert 3/40 to a percentage. Both room pretty straightforward and easy to do, yet I personally prefer the convert to decimal an approach as the takes much less steps.

I"ve viewed a lot of students get confused whenever a inquiry comes up around converting a portion to a percentage, but if you follow the procedures laid out right here it should be simple. The said, you might still need a calculator for more complicated fractions (and you can always 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 couple of fractions come a percentage yourself.

Hopefully this tutorial has helped you to understand just how to transform a fraction to a percentage. You have the right to now walk forth and also convert fractions to percentages as lot as your small heart desires!

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Fraction to percentage Calculator


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