Question

write 1/20 as the sum of two unit fraction

Answer 1

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Answer 2

1/20 can be written as sum 1/21 and 1/420  

Given:

1/20 is unit factor

To find:

write 1/20 as the sum of two unit fraction

Solution:

Unit fractions

• The fractions which have 1 as its Numerator is called as Unit fraction and the denominator of the fraction will be any natural number.

• The general form of the fraction is 1/x, where x∈N.
• Examples of unit fractions are 1/3, 1/4, 1/10, etc.

Given Unit fraction 1/20  

The formula to break a unit factor 1/n into 2 unit fractions is given by

                      $\frac{1}{n} = \frac{1}{n+1} + \frac{1}{n(n+1)}$

⇒ $\frac{1}{20} = \frac{1}{20+1} + \frac{1}{20(20+1)}$  

⇒  $\frac{1}{20} = \frac{1}{21} + \frac{1}{20(21)}$

⇒  $\frac{1}{20} = \frac{1}{21} + \frac{1}{420}$  

Therefore,

1/20 can be written as sum 1/21 and 1/420  

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