Answer:
[tex]\frac{17}{495}[/tex] will be the fraction.
Step-by-step explanation:
Here the recurring decimal number is 0.0343434....
To convert this recurring decimal to fraction we assume,
x = 0.03434.... -------(1)
Now multiply both the sides with 100.
100x = 3.43434.... ------(2)
Now subtract equation (1) from equation (2).
100x = 3.43434
x = 0.03434
99x = 3.4
x = [tex]\frac{3.4}{99}[/tex]
= [tex]\frac{34}{990}[/tex]
x = [tex]\frac{17}{495}[/tex]
Therefore, fraction that represents the decimal number is [tex]\frac{17}{495}[/tex]
