To convert fractions into percentages, you have to multiply fractions by 100. But, to make the calculation more convenient, **you can multiply and divide fractions by 100**. In this way, you can easily convert fractions into percentages.

Let’s take examples to understand it clearly

Example: Express each of the following fractions as a percentage

(i) \frac{5}{6}

Solution:

Step:1 Multiply 100 in the numerator and denominator of the fraction

Step:2 If possible, Divide the 100 with the denominator of the fraction

Step:3 Now ,we can write \frac{125}{100} as 125%

(ii) \frac{1}{8}

Solution:

Similarly ,

Step:1

Multiply 100 in the numerator and denominator of the fraction

Step:2 Divide 100 by the denominator of the fraction

Step: 3 So, \frac{\frac{25}{2}}{100} become \frac{25}{2}%

(iii) \frac{3}{40}

Solution:

Multiply Numerator and Denominator of the fraction by 100

\frac{3}{40}×\frac{100}{100}

Now, divide 100 by 40

Multiply the numerator

Since, We can write \frac{15}{2×100} as \frac{\frac{15}{2}}{100}

Hence , \frac{\frac{15}{2}}{100} = \frac{15}{2}%

Practice Question for** Conversion of fraction into percentage **

Q.1 The percentage which has \frac{5}{4} as fraction is

(a) 6 %

(b) 30%

(c)125%

(d)350%

Q.2 Convert the following into percentage

(i) \frac{2}{25}

(ii) \frac{4}{5}

(iii) \frac{5}{7}

Here are some word problems based on converting fractions into fraction concepts. Solve this

Q.3 In a class, 4 students out of 40 were absent. What percentage of the students were absent?

Q.4 A shop has 500 bulbs, out of which 75 are defective. What percentage of bulbs is defective

Answer:

Q.1

(c) 125%

Q.2

(i) 8 %

(ii) 80 %

(iii) 71\frac{3}{7}%

Q.3

Answer: 10 %

Q.4

Answer: 15 %

Check these resources as well