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%

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

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