Question

convert 1.10125 ( bar on 25 ) in the form m/n​

Answer 1

Given :-

$\sf \dashrightarrow 1.101 \overline{25}$

To Do :-

• Write it in the form of m/n

Solution :-

~Let 'x' be the value of the given number.

$\sf \dashrightarrow x = 1.101 \overline{25} \;\;$

Here, value of x is 1.101252525252525....

$\sf \dashrightarrow 10x = 11.01 \overline{25}$

$\sf \dashrightarrow 100x = 110.1 \overline{25}$

$\sf \dashrightarrow 1000x = 1101. \overline{25} \;\; -- [ \; i \; ]$

$\sf \dashrightarrow 100000x = 110125. \overline{25} \;\; -- [\;ii\;]$

~Now, subtract equation [ i ] from [ ii ]

$\sf \dashrightarrow 100000x -1000x = 110125. \overline{25} -1101. \overline{25}$

$\sf \dashrightarrow 99000x = 110125-1101$

$\sf \dashrightarrow 99000x = 109024$

${\large{\pmb{\frak{X = \dfrac{109024}{99000} }}}}$