Solution: 46/77 as a percent is 59.74%
Methods
Method 1 – Converting 46/77 Into a Percentage:
In a fraction, the number above the line is called the numerator, and the number below the line is called the denominator. The fraction shows how many “pieces” of the number there are, compared to how many there are possible. For instance, in the fraction 46/77, we could say that there are 46 pieces out of a possible 77 pieces.
“Percent” means “per hundred”, so for percentages we want to know how many pieces there are if there are 100 pieces possible. For example, if we look at the percentage 75%, that means we have 75 pieces of the possible 100. Re-writing this in fraction form, we see 75/100.
When converting the fraction into a percent, the first step is to adjust the fraction so that there will be 100 pieces possible (the denominator needs to be changed to 100). To do this, you first divide 100 by the denominator:
100
77
=
1.299
\frac{100}{77} = 1.299
77 100 = 1.299
We can then adjust the whole fraction using this number, like so:
46
∗
1.299
77
∗
1.299
=
59.74
100
\frac{46*1.299}{77*1.299} = \frac{59.74}{100}
77 ∗ 1.299 46 ∗ 1.299 = 100 59.74
As you can see, there are 59.74 pieces out of a possible 100 pieces. Re-writing this as a percentage, we can see that 46/77 as a percentage is 59.74%.
Method 2 – Converting 46/77 Into a Percentage Using Decimals:
If you already know how to convert a fraction into a decimal, you can also use this method as a step for converting to a percentage. Let’s show you how.
First, convert the fraction into a decimal by dividing the numerator by the denominator:
46
77
=
0.597
\frac{46}{77} = 0.597
77 46 = 0.597
If we multiply the decimal by 100, we will get the percentage:
0.597 * 100 = 59.74
Now we can see that 46/77 as a percentage is 59.74.
Try out both methods and see which one works best for you! Some people like to use the first method, while others will prefer to use the decimal method. There is no “best” way to convert fractions into percentages, just choose the method that works for you.
Try some more percentage 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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