It"s really common as soon as learning around fractions to desire to know how transform a portion like 6/7 right into a percentage. In this step-by-step guide, we"ll show you just how to rotate any portion into a percentage really easily. Let"s take a look!


Want to quickly learn or show students how to transform 6/7 to a percentage? play this an extremely quick and also fun video now!


Before we gain started in the fraction to percent conversion, let"s go over some very quick fraction basics. Remember the a molecule is the number above the fraction line, and the denominator is the number listed below the fraction line. We"ll usage this later in the tutorial.

You are watching: 6/7 as a percent

When we space using percentages, what we are really speak is that the percentage is a fraction of 100. "Percent" way 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 6/7 is 7, we could change the fraction to make the denominator 100. To execute that, we division 100 through the denominator:

100 ÷ 7 = 14.285714285714

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


6 x 14.285714285714/7 x 14.285714285714=85.714285714286/100

Now we deserve to see that our portion is 85.714285714286/100, which means that 6/7 together a percent is 85.7143%.

We can additionally work this the end in a simpler means by first converting the fraction 6/7 come a decimal. To do that, we merely divide the molecule by the denominator:

6/7 = 0.85714285714286

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

0.85714285714286 x 100 = 85.7143%

And over there you have it! Two different ways to transform 6/7 come a percentage. Both room pretty straightforward and easy to do, yet I personally like the convert to decimal method as the takes less steps.

I"ve watched a lot of students get perplexed whenever a inquiry comes up around converting a portion to a percentage, but if you follow the measures laid out here it have to be simple. That said, you might still need a calculator for more complex fractions (and you can always use our calculator in the type below).

If you want to practice, grab you yourself a pen, a pad, and a calculator and shot to convert a few fractions come a portion yourself.

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

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