Question

Express as a fraction in the simplest form a› 0.7bar b› 0.24 bar

Answer 1

i)let
x=0.777....---(1)
Multiply (1) with 10
10x=7.777...----(2)
Subtract (1) from(2)
9x=7
x=7/9
ii) let y=0.242424.....-----(1)
Multiply (1) with 100
100y=24.242424....---(2)
Subtract (1) from (2)
99y =24
y=24/99=8/43

Answer 2

a)..let x=0.777777......-------(1)

periodicity is 1

multiply with 10 on both sides

10x=7.777777....-------(2)

(1)-(2)

9x=7

x=7/9

b)let y =0.242424.....-----(1)

periodicity is 2

multiply with 100 on both sides

100y=24.2424......---(2)

(1)-(2)

99y =24

y=24/99

I hope this will help u :)