Question

express 3.565656...... in the form of rational number​

Answer 1

p = $\frac{353}{99}$

Step-by-step explanation:

3.56565656....... = $3.\overline{56}$

Let p = $3.\overline{56}$....................(1)

Multiply by 100 on both sides

100p = $356.\overline{56}$........(2)

Subtract equation (1) from (2)

100p- p =  $356.\overline{56}$ - $3.\overline{56}$

⇒ 99p = 353

⇒$p = \frac{353}{99}$

Rational form of the number p = $\frac{353}{99}$