Fraction and Percent

Q1: What is meant by a fraction?

Answer:

In mathematics, a fraction is referred to as a numerical value that expresses a part of a whole.

Q2: What is meant by a percentage?

Answer:

In mathematics, the percent refers to “per hundred.” Percent can be said to be a number or a fraction with a denominator of 100.

Q3: How to convert a fraction to a percent using decimals?

Answer:

Follow the steps below to convert a fraction to a percent using decimals:

  • First, divide the numerator by the denominator.
  • Now, multiply the obtained result by 100.
  • Add the percent symbol to the result obtained in the above step.

Q4: How to convert a fraction to a percent using proportions?

Answer:

Follow the steps below to convert a fraction to a percent using proportions:

Step 1: First, we have to write the given fraction in proportion format.

Step 2: Now, let us solve the above proportion using the cross-multiplication method.

Step 3:  Simplify it further to obtain the required percent and finally add the percent symbol to the result.

Q5: How can we convert a mixed fraction to a percent?

Answer:

We can follow different methods to convert a mixed fraction to a percent. Follow the steps below to convert a mixed fraction to a mixed percent using decimals:

  • First, convert the mixed fraction into an improper fraction. 
  • Now, convert the improper fraction into a decimal, and divide the numerator by the denominator.
  • Now, multiply the obtained result by 100.
  • Finally add the percent symbol to the result obtained in the above step.


Fraction to Percent Conversion

In daily life, we quite often compare two quantities. Fractions and percents are two different ways of expressing a number and are generally used for comparing quantities. The fractions can be converted to percentages and vice versa. Let us consider that Rosy passed 5 out of 6 subjects while John passed 6 out of 8 subjects. So, can you determine who has the better pass percentage? For that, we need to calculate their pass percentage first. So, we need to convert the given fractions to percentages. We have two different methods for converting a fraction into a percent. 

But before learning about the conversion of fractions to percent, let us learn the definitions of fractions and percentages.

Similar Reads

What is a Fraction?

In mathematics, a fraction is referred to as a numerical value that expresses a part of a whole. A fraction is a portion of any quantity taken from a whole, whereas the whole can be any number, a thing, or a certain value. For example, if a square is divided into four equal parts and we have to express a selected part of the square, we can express it as 1/4, which means one in four equal parts. It can also be written as “one-fourth” or “1 by 4.” A fraction has two parts called the numerator and the denominator that are separated by a fractional bar, where the numerator is the upper part of the fraction and represents the sections of the fraction, while the denominator is the lower part of the fraction and represents the total number of parts into which the fraction is divided....

What is a Percent?

In mathematics, the percent refers to “per hundred.” Percent can be said to be a number or a fraction with a denominator of 100. It is represented by the symbol “%.” It is a dimensionless number. For example, 26% of a number means 26 percent of its whole....

Fraction to Percent Formula

The following is the fraction to percent formula that helps in finding the share of a whole expressed in terms of 100....

Conversion of Fractions to Percentage

To convert a fraction to a percent, multiply the given fraction by 100 and simplify it further. We have two different methods for converting a fraction into a percent. The first method is the conversion of a fraction to a decimal and then converting the obtained decimal to a percent. The second method is the conversion of a fraction to a percent using proportions....

Fraction to Percent Chart

The table given below is a fraction-to-percent chart that helps in solving numerical problems quickly....

Solved Examples on Fraction to Percent Conversion

Example 1: John passed 6 subjects out of 8 subjects. Calculate his pass percentage using the fraction to percent formula....

FAQs on Fraction and Percent

Q1: What is meant by a fraction?...