Question

explain 1.32 bar + 0.35bar as a fraction in simplest form

Answer 1

Let p/q1 = 1.323232...... - (i)

Multiply 100 both side:-

100p/q1 = 132.323232...... - (ii)

Subtract equation (i) from (ii):-

100p/q1 = 132.323232......

- p/q1 = 1.323232......

99p/q1 = 131.0

p/q1 = 131/99

Let p/q2 = 0.353535...... - (iii)

Multiply 100 both side:-

100p/q2 = 035.353535...... - (iv)

Subtract equation (iii) from (iv):-

100p/q2 = 035.353535......

- p/q2 = 0.353535......

99p/q2 = 035.0

p/q2 = 35/99

p/q1 + p/q2

= 131/99 + 35/99

= (131 + 35)/99

= 166/99 Ans.