Fraction to Percent

We frequently compare two quantities in our daily lives. For the comparison, we typically utilise fraction and percent. The fraction describes how many pieces there are in a specified full quantity. In contrast, % or percent refers to the number of pieces out of every 100.

Fraction

A fraction is defined as a group of equal parts or a portion of a larger quantity. In other phrases, it shows how the full quantity was divided into portions of a specific size. A numerator & a denominator make up a simple fraction of 1/2. The denominator is placed below the line, and the numerator is placed above the line.

The denominator, which cannot be 0, shows how many parts make up a whole, while the numerator shows some equal parts of a whole. Think about the number 3/4. Here, the denominator is 4 and the numerator is 3, denoting that the entire is made up of four equal parts.

Examples: 1/4, 3/5, 5/7 and more.

Percent

A ratio or number that is stated as a fraction of 100 is termed as percent. It is represented by the percentage sign (%). Here is an illustration to help you comprehend how the percent denotes a percentage of 100. The fractional representation of 35 percent is 35/100. There were 50 male students in the class, or 50 male pupils for every 100 students.

Example: 5% = 5/100 = 1/20 = 0.05

Formula of Percentage

percentage = (Given value/Total value) ×100

Fraction to Percent

The Latin word “fractio,” which means “to break,” is the source of the English term “fraction.” The numerical numbers used to represent fractions can be thought of as the components of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object. Percentage refers to a part or a percentage of 100. In other terms, we can state that percent is also a fraction having 100 as the numerator or that percent is a ratio determined out of 100. The percent sign (%) is used to denote it.

Another word for using hundredths is the percent. As a result, 1 percent equals 100th. To convert a fraction to a percentage, multiply the full number by 100 to see how many are taken into account. For instance, if the fraction is 3/5, 3 of the 5 components are shaded.

How to Convert Fraction to Percent

Let’s talk about the first method of fraction to percent conversion, which is fraction to percent using decimals. With this approach, we first divide the fraction’s denominator by its numerator. The quotient is then multiplied by 100.

Conversion of Fraction to Percent Using the Decimal

Divide the numerator by the denominator by using the long division method to convert the fraction to decimal form.

Multiply a decimal with 100 to convert a it to a percent. 

Example: Convert 3/5 into percentage using decimal.

3/5 = 0.6

Now, multiply 0.6 with 100 to get the percentage.

3/5 = 0.6×100 = 60%

Conversion of Fraction to Percent Using the Proportion

The quantities p, q, r, & s are said to be in proportion when two ratios, p/q and r/s, are equal. We must change the ratio p/q into the form x/100 if we have the fraction p/q.

Example: Convert 3/5 into percentage using proportion.

3/5 = x/100

x = 3/5 ×100

x = 60

Therefore,

3/5 = 60%

Conclusion

The two terminology we typically use when comparing quantities are fractions and percent. While percent denotes how much of the complete thing and is simpler to remember than a fraction, percent or percentage refers to the fractions of a whole.

The term fraction denotes the number of parts that make up a given entire quantity or, more generally, the number of parts that make up a particular size divided by whole quantity.

Percentage denotes the number of components in a quantity out of a total of 100. In other terms, percentages are defined as the numerators of fractions with the number 100 as the denominator.

There are two methods which are generally used to convert the fraction into a percent:

• Conversion of Fraction to Percent Using the Decimal

• Conversion of Fraction to Percent Using the Proportion