Question

Express 3.454545…. In the form of  p/q where p, q are integers and q is not equal to 0.​

Answer 1

Answer:

38/11

Step-by-step explanation:

3.454545... can be said as 3.45 bar.

Let a = 3.45 bar

As there are two numbers under bar, multiply both sides by 100:

→ 100 * a = 100 * 3.45 bar

→ 100a = 345.45 bar

Now, subtract 'a' from '100a':

→ 100a - a = 345.45 bar - 3.45 bar

As bar is common in both, .35 bar - 0.35 bar will be 0

→ 99a = 345 - 3

→ 99a = 342

→ a = (342/99) = (114/33) = 38/11