Question

Express the following in the form p/q,where p and q are integers and q ≠ 0

bar 0.47

Answer 1

Let x = bar0.47,  x = 0.47777...... (a)

We need to mulgiply both sides by 10 to get

10x = 4.7777...... (b)

we need to subtract (a) from (b) to get

We can also write 9x = 4.3 as x = 4.3/9 or x = 43/90.

Therefore, on converting bar 0.47 in the p/q form,,we get the answer as 43/90.