Convert fraction into percentage

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 

Converting fraction into percentage

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

Converting fraction into percentage

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 

Fraction into percentage

Step:2 Divide 100 by the denominator of the fraction 

Fraction into percentage

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

fraction into percentage

Multiply the numerator

fraction into percentage

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 

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