To Convert a Fraction into a Percentage

To convert a fraction into a percentage; we need to multiply the fraction by 100 and add the percent symbol after the product..

Let us consider how to change a fraction to a percent

(i) 42/100

= 42%


(ii) 73/100

= 73%


(iii) 6/100

= 6%

(iv) 15/100

= 15%


(v) 39/100

= 39%


(vi) 11/100

= 11%


For example:

(i) Express 3/4 as a percent.

Solution:

¾ × 100

= (3 × 100)/4

= 300/4

= 300/4 ÷ 4/4

[Divide the numerator and denominator by 4]

= 75%.

Answer: 75%



(ii) Express 12/5 as a percent.

Solution:

12/5 × 100

= (12 × 100)/5

= 1200/5

= 1200/5 ÷ 5/5

[Divide the numerator and denominator by 5]

= 240%.

Answer: 240%


(iii) Express 13/6 as a percent.

Solution:

13/6 × 100

= (13 × 100)/6

= 1300/6

= 1300/6 ÷ 2/2

[Divide the numerator and denominator by 2]

= 650/3

= 216 2/3%

Answer: 216 2/3%



(iv) Express 19/4 as a percent.

Solution:

19/4 × 100

= (19 × 100)/4 = 1900/4

= 1900/4 ÷ 4/4

[Divide the numerator and denominator by 4]

= 475%.

Answer: 475%



(v) Express 27/2 as a percent.

Solution:

27/2 × 100

= (27 × 100)/2

= 2700/2

= 2700/2 ÷ 2/2

[Divide the numerator and denominator by 2]

= 1350%.

Answer: 1350%


(vi) Express \(\frac{9}{25}\) as a percent.

Solution:

\(\frac{9}{25}\) = \(\frac{9}{25}\) × \(\frac{4}{100}\)

     = 9 × 4

     = 36%

Converting Fractions to Percent

Questions and Answers on Converting Fractions to Percent:

I. Convert the following fractions to percentage.

(i) \(\frac{1}{10}\)

(ii) \(\frac{3}{5}\)

(iii) \(\frac{7}{25}\)

(iv) \(\frac{29}{50}\)

(v) \(\frac{3}{4}\)

(vi) \(\frac{45}{50}\)


Answers:

I. (i) 10%

(ii) 60%

(iii) 28%

(iv) 58%

(v) 75%

(vi) 90%



● Percentage

To Convert a Percentage into a Fraction

To Convert a Fraction into a Percentage

To find the percent of a given number

To find what Per cent is one Number of another Number

To Calculate a Number when its Percentage is Known








5th Grade Numbers Page

5th Grade Math Problems

From To Convert a Fraction into a Percentage to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Addition and Subtraction of Fractions | Solved Examples | Worksheet

    Jul 18, 24 03:08 PM

    Addition and subtraction of fractions are discussed here with examples. To add or subtract two or more fractions, proceed as under: (i) Convert the mixed fractions (if any.) or natural numbers

    Read More

  2. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Jul 18, 24 01:19 AM

    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  3. Fractions in Descending Order |Arranging Fractions an Descending Order

    Jul 18, 24 01:15 AM

    We will discuss here how to arrange the fractions in descending order. Solved examples for arranging in descending order: 1. Arrange the following fractions 5/6, 7/10, 11/20 in descending order. First…

    Read More

  4. Fractions in Ascending Order | Arranging Fractions | Worksheet |Answer

    Jul 18, 24 01:02 AM

    Comparison Fractions
    We will discuss here how to arrange the fractions in ascending order. Solved examples for arranging in ascending order: 1. Arrange the following fractions 5/6, 8/9, 2/3 in ascending order. First we fi…

    Read More

  5. Worksheet on Comparison of Like Fractions | Greater & Smaller Fraction

    Jul 18, 24 12:45 AM

    Worksheet on Comparison of Like Fractions
    In worksheet on comparison of like fractions, all grade students can practice the questions on comparison of like fractions. This exercise sheet on comparison of like fractions can be practiced

    Read More