Question

Express 0.245(BAR UNDER 45)as a fraction in simplest form.

Answer 1

Let p/q = 0.2454545......

Multiply both side by 10:-

10 * p/q = 10 * 0.2454545......

10p/q = 02.454545...... - (i)

Multiply both side by 100:-

100 * p/q = 100 * 02.454545......

100p/q = 0245.454545...... - (ii)

Subtract equation (i) from (ii):-

100p/q = 0245.454545......

- 10p/q = 02.454545......

90p/q = 0243.0

p/q = 243/90

= 81/30

= 27/10 Ans.