Answer:
The value of 1.83.... (3 repeating) in the form of a simplified fraction = [tex]\frac{165}{90}[/tex]
Step-by-step explanation:
Let x be = 1.83....(3 repeating)
∵ only one number is repeating, multiply the number with 10
∴ 10x = 10 × 1.83.... = 18.3..... (3 repeating)
Subtracting both the equations = 10x - x = 18.3.... - 1.83....
= 9x = 16.5
∴ x = [tex]\frac{16.5}{9}[/tex] =
[tex]\frac{16.5}{9}[/tex] × 10 = [tex]\frac{165}{90}[/tex]
