It"s very common when learning about fractions to desire to know how transform a portion like 34/40 into a percentage. In this step-by-step guide, we"ll display you just how to revolve any fraction into a portion really easily. Let"s take it a look!
Want to easily learn or display students exactly how to convert 34/40 to a percentage? play this really quick and also fun video clip now!
Before we acquire started in the fraction to portion conversion, let"s walk over some really quick fraction basics. Remember the a numerator is the number over the fraction line, and also the denominator is the number below the fraction line. We"ll usage this later in the tutorial.
You are watching: 34/40 as a percent
When we space using percentages, what we space really saying is that the percentage is a fraction of 100. "Percent" method per hundred, and so 50% is the very same as saying 50/100 or 5/10 in portion form.
So, due to the fact that our denominator in 34/40 is 40, us could adjust the fraction to do the denominator 100. To execute that, we division 100 by the denominator:
100 ÷ 40 = 2.5
Once we have actually that, we can multiple both the numerator and denominator through this multiple:
34 x 2.5/40 x 2.5=85/100
Now we can see the our portion is 85/100, which method that 34/40 together a percentage is 85%.
We can likewise work this out in a simpler means by first converting the portion 34/40 come a decimal. To carry out that, we just divide the molecule by the denominator:
34/40 = 0.85
Once we have the prize to that division, we have the right to multiply the price by 100 to do it a percentage:
0.85 x 100 = 85%
And over there you have it! Two different ways to transform 34/40 to a percentage. Both space pretty straightforward and easy to do, but I personally favor the transform to decimal method as that takes less steps.
I"ve viewed a many students get perplexed whenever a inquiry comes up around converting a portion to a percentage, but if you follow the steps laid out right here it need to be simple. That said, you may still require a calculator for more complicated fractions (and girlfriend can always use our calculator in the form below).
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If you desire to practice, grab yourself a pen, a pad, and a calculator and shot to transform a couple of fractions to a percentage yourself.
Hopefully this tutorial has helped you come understand just how to transform a portion to a percentage. You can now go forth and convert fractions to percentages as lot as your little heart desires!
Fraction to portion Calculator
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