Question

Express in the form of p/q 0.38..........+ 1.27..............

Answer 1

Answer:

First case

x= 0.38.......... ( equation 1)

Multiplying both sides by 100 we get

100x = 38.38.......... ( equation 2)

Substracting equation 1 from equation 2

100x=38.38........

- x= 0.38 ...........

---------------------------

99x=38

----------------------------

99x=38

x=38/99

Second case

x=1.27............ (equation 1)

Multiplying both sides by 100 we get

100x=127.27.......... ( equation 2)

Substracting equation 1 from 2 we get

100x=127.27.........

x=1.27..........

----------------------------

99x=126

----------------------------

99x = 126

x= 126/99

Now adding both case answers in the form of p/q we get

38/99+126/99

164/99 Ans.