Solution: 71/46 as a percent is 154.348%
Methods
Method 1 – Converting 71/46 Into a Percentage:
In a fraction, we can see how many “pieces” of a number are present (in the numerator) compared to how many pieces would make up the whole (the denominator). “Percent” means “per hundred”, which is like asking the question “how many pieces would there be if there were 100 pieces possible?”
For example, if we look at the percentage 50%, that means we have 50 pieces of the possible 100. Re-writing this in fraction form, we see 50/100.
We can start the process of converting a fraction into a percent, by figuring out how to adjust the fraction so that the denominator will be 100. First, divide 100 by the denominator:
100
46
=
2.174
\frac{100}{46} = 2.174
46 100 = 2.174
Then we can multiply both the numerator and denominator by this number:
71
∗
2.174
46
∗
2.174
=
154.348
100
\frac{71*2.174}{46*2.174} = \frac{154.348}{100}
46 ∗ 2.174 71 ∗ 2.174 = 100 154.348
This works because multiplying both the numerator and the denominator by the same number is like multiplying it by 1. (2.174 / 2.174 = 1)
Re-writing the result as a percentage, we can see that 71/46 as a percentage is 154.348%.
Method 2 – Converting 71/46 Into a Percentage Using Decimals:
Another common way to convert a fraction into a percentage is to first convert the fraction into a decimal. To convert 71/46 into a percentage, you would first convert 71/46 into a decimal by dividing the numerator by the denominator:
71
46
=
1.543
\frac{71}{46} = 1.543
46 71 = 1.543
Once you have converted the fraction into a decimal, you can simply multiply by 100 to get the percentage:
1.543 x 100 = 154.348
And there you go! Now we can see that 71/46 as a percentage is 154.348%, the same way we did with the first method.
Now you know of two ways you can convert 71/46 into a percentage. The best way to master these methods is to practice! Grab a pencil and paper, and come up with some of your own fractions, and become a master at converting them into percentages!
Practice more percentage conversion problems
With a just a few more problems, you could become a pro at converting fractions to percentages. You can try some more right now!
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