Question

Write the following rational number in p/q form
0. 373737​

Answer 1

ANSWER.

• The number in p/q format will be - 37/99

SOLUTION.

Let us assume that,

$\tt \implies x = 0.373737... \: - (i)$

$\tt \implies 100x = 37.3737... \: - (ii)$

Subtracting (i) from (ii), we get,

$\tt \implies 100x - x= 37.3737... - 0.373737..$

$\tt \implies 99x= 37$

$\tt \implies x = \dfrac{37}{99}$

★ Therefore, the number in p/q form will be – 37/99.