Answer:
\(\dfrac{5}{11}=0.\overline{45}\)
Step-by-step explanation:
Given: \(\dfrac{5}{11}\)
We need to change given fraction into decimal.
\(x=\dfrac{5}{11}-------(1)\)
\(11x=5\)
Multiply both sides by 9
\(99x=45-----------(2)\)
Add equation (1) and (2)
\(99x+x=45+\dfrac{5}{11}\)
\(100x=45.45.....\)
Divide both sides by 100
\(x=0.454545.....\)
\(\dfrac{5}{11}=0.454545.......=0.\overline{45}\)
