Question

B) Express 0.6363......as a rational number in its lowest term. ​

Answer 1

Answer:

$\frac{7}{11}$

Step-by-step explanation:

We require 2 equations with the repeating digits (63) placed after the decimal point.

let x = 0.636363..... (1) multiply both sides by 100

100x = 63.6363... (2)

Subtract (1) from (2) thus eliminating the repeating digits

99x = 63 ( divide both sides by 99 )

x = $\frac{63}{99}$ = $\frac{7}{11}$ ← in simplest form