It"s an extremely common when learning around fractions to want to know how transform a portion like 7/40 right into a percentage. In this step-by-step guide, we"ll display you how to rotate any portion into a percentage really easily. Let"s take it a look!


Want to easily learn or present students just how to transform 7/40 to a percentage? beat this an extremely quick and fun video now!


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

You are watching: .7*40

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

So, since our denominator in 7/40 is 40, us could readjust the fraction 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 can multiple both the numerator and also denominator by this multiple:


7 x 2.5/40 x 2.5=17.5/100

Now we have the right to see the our portion is 17.5/100, which way that 7/40 as a portion is 17.5%.

We can additionally work this out in a simpler way by very first converting the portion 7/40 to a decimal. To carry out that, we simply divide the molecule by the denominator:

7/40 = 0.175

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

0.175 x 100 = 17.5%

And over there you have it! Two different ways to convert 7/40 to a percentage. Both are pretty straightforward and also easy to do, however I personally prefer the transform to decimal technique as it takes much less steps.

I"ve viewed a the majority of students get puzzled whenever a question comes up around converting a portion to a percentage, yet if you monitor the measures laid out here it need to be simple. The said, you may still need a calculator for more facility fractions (and friend can always use our calculator in the form below).

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

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

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