It"s really common when learning around fractions to want to recognize how convert a portion like 35/40 right into a percentage. In this step-by-step guide, we"ll display you exactly how to rotate any fraction into a percent really easily. Let"s take it a look!


Want to quickly learn or show students exactly how to transform 35/40 come a percentage? pat this very quick and fun video clip now!


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

You are watching: 35/40 as a percentage

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

So, since our denominator in 35/40 is 40, us could readjust the portion to do the denominator 100. To carry out that, we division 100 by the denominator:

100 ÷ 40 = 2.5

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


35 x 2.5/40 x 2.5=87.5/100

Now we can see that our fraction is 87.5/100, which means that 35/40 together a percent is 87.5%.

We can also work this out in a simpler method by an initial converting the portion 35/40 come a decimal. To perform that, we merely divide the numerator by the denominator:

35/40 = 0.875

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

0.875 x 100 = 87.5%

And over there you have it! Two various ways to transform 35/40 to a percentage. Both space pretty straightforward and also easy to do, yet I personally choose the transform to decimal method as the takes much less steps.

I"ve watched a lot of students get puzzled whenever a concern comes up around converting a fraction to a percentage, yet if you follow the procedures laid out right here it must be simple. That said, you might still need a calculator for more facility fractions (and you can constantly use our calculator in the form below).

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If you desire to practice, grab you yourself a pen, a pad, and a calculator and try to transform a couple of fractions to a percent yourself.

Hopefully this tutorial has actually helped you come understand how to transform a portion to a percentage. You deserve to now walk forth and convert fractions to percentages as lot as your tiny heart desires!

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