Solution: 24/78 as a percent is 30.769%
Methods
Method 1 – Converting 24/78 Into a Percentage:
First, let’s go over what a fraction represents. The number above the line is called the numerator, while the number below the line is called the denominator. The fraction shows how many portions of the number there are, in relation to how many would make up the whole. For instance, in the fraction 24/78, we could say that the value is 24 portions, out of a possible 78 portions to make up the whole.
For percentages, the difference is that we want to know how many portions there are if there are 100 portions possible. “Percent” means “per hundred”. For example, if we look at the percentage 25%, that means we have 25 portions of the possible 100 portions. Re-writing this in fraction form, we see 25/100.
The first step in converting a fraction to a percentage is to adjust the fraction so that the denominator is 100. To do this, you first divide 100 by the denominator:
100
78
=
1.282
\frac{100}{78} = 1.282
78 100 = 1.282
We can then adjust the whole fraction using this number, like so:
24
∗
1.282
78
∗
1.282
=
30.769
100
\frac{24*1.282}{78*1.282} = \frac{30.769}{100}
78 ∗ 1.282 24 ∗ 1.282 = 100 30.769
Reading this as a fraction, we can say that we have 30.769 portions of a possible 100 portions.
Re-writing this as a percentage, we can see that 24/78 as a percentage is 30.769%
Method 2 – Converting 24/78 Into a Percentage Using Decimals:
Another way we can convert 24/78 into a percentage is to first convert 24/78 into a decimal. We can do this by simply dividing the numerator by the denominator:
24
78
=
0.308
\frac{24}{78} = 0.308
78 24 = 0.308
Once we have the answer, we can multiply the new decimal by 100 to get the percentage:
0.308 × 100 = 30.769
As you can see, we get the same answer as the first method and find that 24/78 as a percentage is 30.769%.
Now you know of two different ways to convert 24/78 into a percentage! While converting using a decimal takes fewer steps, you first need to master converting fractions into decimals. Try out both methods and see which one works best for you!
Practice more percentage problems!
Practice makes perfect so why not check out some of other problems where you can convert a fraction to a percentage?
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