Question

Express 0.454545....... in the in the form of p/q, wher p and q are integer q= 0 ​

Answer 1

$let \: x = 0.454545...... < 1 > \\ \\ 100x = 45.454545....... < 2 > \\ \\ < 2 > - < 1 > \\ \\ 99x = 45 \\ \\ x = \frac{45}{99} \\ \\ x = \frac{9 \times 5}{9 \times 11} \\ \\ x = \frac{5}{11}$

hope it helps.