Question

answer for 8th question in that 4th question

Answer 1

period = 7 
periodicity = 1 
X =  3.12777 ( equation 1 ) 

multiply by 10 on the both right hand side and even left hand side of the equation 1 

⇒ 10 × X = 3.12777 × 10 
⇒ 10X = 31.2777  ( equation 2 )

subtracting equation 2 from equation 1 

⇒ 10X = 31.2777 ( - ) X = 3.1277 
⇒ 9X = 28.1500 
⇒ X = $\frac{28.15}{9}$

"we need now remove the decimal point in the numerator for that we need to multiply with 100 for both the numerator and denominator " 
 X = $\frac{2815}{900}$ ( this is after multiplying with 100 ) 
⇒ X = $\frac{2815}{900}$ = $\frac{563}{180}$
∴ the value of X = $\frac{563}{180}$