Question

write 0.375 in the form of fraction.
(on 75 in 0.375 there is a bar)

Answer 1

Let x = 0.3757575... ---(1)

Here periodicity = 2

So, multiply (1) by 100

100 * x = 100 * 0.37575...

100x = 37.57575... ---(2)

Subtract (1) from (2)

100x = 37.57575...

- x = 0.37575..

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99x = 37.2

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x = 37.2/99

x = 372/990

x = 62/165

Fraction form of 0.3757575... is 62/165