Convert Fraction to Percent

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Lesson Objective

In this lesson, we will learn how to convert fraction to percent.

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About This Lesson

In this lesson, we will:

  • Learn the basics behind converting fraction to percent
  • Learn the steps to quickly perform the conversion.
  • See some examples on using these steps.

The study tips and math video below will explain more.

converting fraction to percent

Study Tips

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Tip #1

A fraction can be converted to percent. The example below shows how you can quickly convert 3/5 to percent:

  1. First, we multiply the fraction with 100 as shown below.

    multiply 3/5 with 100
  2. Next, we multiply 100 with the fraction's numerator, 3. This gives 300.

    100 multiply by 3 gives 300
  3. Now, we divide 300 with the fraction's denominator, 5. This gives 60. Don't forget to include the % sign to show that the calculated number is 'per' 100 (i.e. percent). After conversion, we have 60%.

    300 divides by 5 gives 60%

The math video below will give more explanations on this. Also, we will see some examples on it.

Math Video

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Lesson Video

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Math Video Transcript

00:00:03.210
In this lesson, we will learn how to convert fraction to percent.

00:00:08.190
Consider this fraction, 2/5. Now, this fraction can be visualized by this bar.

00:00:17.080
The denominator 5, means that this bar is divided into 5 equal parts.

00:00:23.000
The numerator 2 means that 2 out of 5 parts are selected, as shown by these green parts.

00:00:29.170
Now, let's see some explanation on converting this fraction, 2/5, to percent.

00:00:36.240
Note that, we will learn a quicker way to do the conversion later.

00:00:41.200
Let's start. First, we multiply 2/5, with 100.

00:00:48.020
Now, we know that 100 is the same as, 100/1. With this, we are now multiplying these 2 fractions.

00:00:58.060
Multiplying these fractions gives, (2x100)/(5x1).

00:01:05.080
Simplifying this term gives, 200/5.

00:01:09.200
Next, 200 divided by 5 gives, 40. Since we are finding the percentage, it is important to include the percent sign.

00:01:20.220
So we have, 40%.

00:01:24.170
Visually, we can see that when the fraction is 2/5, the green parts take up 40% of the entire bar. When the numerator is 3, the green parts now take up 60% of the entire bar.

00:01:39.190
Next, when the numerator is 4, the green parts takes up 80% of the entire bar.

00:01:46.230
Similarly, when the numerator is 5, which the same as the denominator, the green parts take up 100% of the entire bar.

00:01:57.100
Alright, let's change this fraction back to 2/5.

00:02:03.070
Now, let's learn the quicker way to convert fraction to percent, using the following steps.

00:02:09.200
We can start by multiplying this fraction with 100.

00:02:14.160
Next, we multiply 100 with the numerator, 2. This gives 200.

00:02:22.090
Then, we divide 200 with the denominator, 5. By doing so, we get 40.

00:02:32.010
Since we are calculating the percentage, it is important to include the percent sign.

00:02:38.210
Finally, we have 40%. This is the same value that was calculated earlier.

00:02:46.120
Let's see another example. Convert 3/4 to percent.

00:02:53.020
Again, we start by multiplying the fraction 3/4, with 100.

00:02:59.020
Next, we take 100 and multiply it with 3. This gives, 300.

00:03:07.210
Now, we take 300 and divide it with the denominator, 4. By doing so, we get 75.

00:03:17.200
Remember, it is important to include the percent sign.

00:03:22.240
Finally, we have 75%. Visually, we can see the 75% here.

00:03:33.050
This is all for this lesson. Try out the practice questions to further your understanding.

Practice Questions & More

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Multiple Choice Questions (MCQ)

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