Fraction to Percent
Converting fraction to percent is done by multiplying the given fraction by 100 and simplifying it further. A fraction is a relationship between a part and a whole whereas a percent is a type of fraction with 100 as a whole. Consider a situation where two siblings are arguing over who has done better in their math test. One had scored 42 out of 50 whereas the other had scored 33 out of 40. Can you guess who scored better? While both of them have scored well, we need to calculate the percentage of marks that both scored to determine who did better. To determine who scored more, we will convert the fraction to percent.
| 1. | Fraction to Percent Conversion |
| 2. | Fraction to Percentage Formula |
| 3. | How to Convert Fraction to Percent? |
| 4. | Fraction to Percent Chart |
| 5. | FAQs on Fraction to Percent |
Fraction to Percent Conversion
The word fraction is derived from the Latin word "fractio" which means 'to break'. Fractions are represented as numerical values which can be defined as the parts of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing. "Percent means a part or a portion out of hundred." In other words, we can say that percent is the ratio calculated out of 100 or percent is a fraction with 100 as the denominator. It is represented by the % symbol. The percent is another name for indicating hundredths. Thus, 1% is one hundredth. Converting a fraction to percent means to convert the whole part into 100 and find how many are considered out of 100. Say, for example, fraction = 3/5 which means 3 parts are shaded out of 5.
To find the percentage for this fraction, we have to find the number of parts that would be shaded out of 100. To convert a fraction to percent, we multiply it by 100.
3/5 = 3/5 × 100
= 300/5 %
= 60 %
There are other ways to convert a fraction to a percent that we will be studying in this article.
- Fraction to percent using decimals
- Fraction to percent using proportion
Fraction to Percentage Formula
The fraction to percent formula is used to find the share of a whole in terms of 100. Using this formula, you can represent a number as a fraction of 100.
Percentage = (Value/Total Value) × 100
OR
Percentage = Fraction × 100
For example, out of 20 beads, the number of red beads is 8. So, out of 100, the number of red beads are,
8/20 × 100 = 40%
In short, to convert a fraction to percent, multiply it by 100 followed by the symbol %. This is the formula we use to convert fractions to percentages very quickly.
How to Convert Fraction to Percent?
Let's discuss the first way to convert fraction to percent, that is, fraction to percent by using decimals. In this method, we first divide the numerator of the fraction by its denominator. Then, we multiply the quotient by 100.
Fraction to Percent Using Decimals:
Follow the steps mentioned below to convert fraction to percent using decimals.
- Convert the fraction into decimal form by dividing the numerator by the denominator using long division.
- To convert a decimal to a percent, multiply it by 100.
Consider the fraction 3/5. We will perform the long division to convert the fraction into decimal form.
So, 3/5 = 0.6. Finally, we will multiply 0.6 by 100 to express the fraction 3/5 in percent.
0.6 = 0.6 × 100 % = 60 %
Fraction to Percent Using Proportions:
When two ratios a/b and c/d are equal, the numbers a, b, c, and d are said to be in proportion. If we have the fraction a/b, we need to convert this ratio into the form x/100. After simplifying it, we will get the same fraction to percent formula that we studied above.
Let's consider the same fraction 3/5.
3/5 = x/100
x = 3/5 × 100
x = 60
Thus, 3/5 = 60 %
We can also convert a mixed fraction to percent using the above methods. For example, we have \(2\dfrac{1}{5}\) which can be written as 11/5. To convert this improper fraction into percent, you can follow any of the methods shown below.
Method 1:
11/5 = (11/5 × 100) %
= 1100/5 %
= 220 %
Method 2:
11/5 = (2.2 × 100) %
= 220 %
Method 3:
Let x be the required percentage.
11/5 = x/100
(11 × 20) (5 × 20) = x/100
220/100 = x/100
x = 220 %
Use Cuemath's free and online fraction to percent calculator to verify your answers.
Fraction to Percent Chart
The fraction to percent chart helps you to quickly find out the percent value of a fraction. Look at a few fractions that are converted to percent in the fraction to percent chart below:
| Fraction | Decimal | Percent |
|---|---|---|
| 1/8 | 0.125 | 12.5 % |
| 2/8 | 0.25 | 25 % |
| 3/8 | 0.375 | 37.5% |
| 4/8 | 0.5 | 50 % |
| 5/8 | 0.625 | 62.5 % |
| 6/8 | 0.75 | 75 % |
| 7/8 | 0.875 | 87.5 % |
| 8/8 | 1 | 100 % |
| 1/3 | 0.333 | 33.3% |
| 1/6 | 0.166 | 16.6% |
| 1/10 | 0.1 | 10% |
| 1/20 | 0.05 | 5% |
| 1/50 | 0.02 | 2% |
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FAQs on Fraction to Percent
What is Fraction to Percent?
In math, fraction to percent conversion is required when we have to compare two or more fractional values. It is possible to compare percentages just by looking at them, unlike fractions. To convert a fraction to a percentage, multiply it by 100 and simplify the value followed by attaching the % sign with the answer.
How do you Convert Fraction to Percent?
To find the percent of a fraction, we have to find the number of parts that would be shaded out of 100. In other words, we have to multiply the fraction by 100 and then simplify it. For example to convert (1/5) to percent, multiply 1/5 by 100 that is (1/5) × 100 = 20 %.
How to Convert Mixed Fraction to Percent?
To convert a mixed fraction to a percent, we first convert it into an improper fraction and then follow the same process. The steps to convert a mixed fraction to percentage are written below:
- Convert the given mixed fraction to an improper fraction.
- Multiply the numerator of the improper fraction by 100 and attach percentage sign %.
- Simplify it and get the final answer in percent.
Can we Express All Fractions in Percent Form?
Yes, all fractions can be written as a percentage. To convert any fraction to percent, just multiply the fraction by 100 and attach the % symbol with the result. For fractions in which the denominator is the divisor of the numerator or 100, we get an exact answer in percentage, while in the other cases, we get the approximate answer.
Why do we Convert Fraction to Percent?
We convert fraction to percent to compare the two different quantities appropriately. Suppose person X scored 44 out of 50 and person B scored 28 out of 30. Can you tell who scored better and why? If we convert their scores in percentage, then it would be easy for us to identify who among them scored better. Percentage makes the denominator of fractions equal, i.e 100, and therefore, it is easy for us to compare percents.
What are the Ways to Convert a Fraction to Percent?
There are two ways of converting a fraction to a percent:
- By using decimals: In this method, we first convert the fraction to the decimal form and then multiply the decimal number by 100.
- By using proportion: In this method, we form an equation in variable x such that the fraction is equal to x %.
How do you Turn the Fraction 3/8 into a Percentage?
To convert a fraction to percent, we simply multiply the fraction by 100. So, 3/8 = 3/8 × 100= 37.5 %.