Convert the decimals `0.bar9 , 14.bar5` and `1.2bar4` to the rational form. Can you find any easy method other than forma method?

Express each of the following decimals numbers in the rational from. 0.bar4

Express each of the following decimals in the rational form. 0.bar(5)

Express each of the following decimals in the rational form. 0.bar(25)

Express each of the following decimals in the rational form. 2.bar(7)

Express each of the following decimals in the rational form (p/q) . 0.bar57

Express each of the following decimals in the rational form (p/q) 0.bar9

Express each of the following decimals in the rational form. ((p)/(q)) 0.bar(2)

Express each of the following decimals in the rational form (p/q) . 0.7bar29

Express each of the following decimals in the rational form (p/q) . 12.2bar8

Observe the following decimals 1/2 = 0.5, 1/10 = 0.1, 32/5. = 6.4, 1/3= 0.333... 4/15 =0.2bar66 can you tell the special charecter of denominator which makes the fraction as terminating or non-terminating recurring decimals ? Write prime factors of denominator of each rational no. What did you observe from the results ?