Question

Express 0.5628 (bar on 28) in the form p/q where q ≠ 0

Answer 1

Answer:

Step-by-step explanation:

Let x = 0.56282828... (i)

Multiplying (i) by 100:

100x = 56.2828...(ii)

Multiplying (i) by 10000:

10000x = 5628.2828...(iii)

Subtracting (ii) from (iii):

10000x - 100x = 5628.2828... - 56.2828...

or, 9900x = 5572

x = 5572/9900 = 1393/2475