Question

express 0.478 (bar on 78) in the form of p/q​

Answer 1

Let x = 0.975

As there are 3 numbers under bar, multiply by 1000

⇒1000 × x = 1000 × 0.975

⇒1000x = 975.975

Now, subtract x from both sides

1000x = 975.975

x = 0.975

999x = 975.000[bar cancel]

Reduce that and we get

37/40 Answer