Answer:
a = 4
b = 11
Step-by-step explanation:
To convert the recurring decimals into fraction we will follow the following process.
Given recurring decimal is 0.36363636....
Let x = 0.363636......... (1)
Multiply this decimal with 100.
100x = 36.36363636...........(2)
Now subtract expression (1) from expression (2)
100x = 36.363636.......
x = 0.363636.......
99x = 36
x = [tex]\frac{36}{99}[/tex]
x = [tex]\frac{4}{11}[/tex]
Since, [tex]x=\frac{a}{b}=\frac{4}{11}[/tex]
a = 4 and b = 11 will be the answer.
