Question

express the 1.27 bar in the form of p/q

Answer 1

hey dear

here is your answer

Solution

Let x = 1.272727272727.......

√√ firstly I'm going to tell you some information about this

√√ if there is one digit number afte bar or decimal then we multiply that no with 10

Eg - 0.9

√√ If there is two digit number after bar then we multiply by 100

eg - 1.27

√√ if there is three digit no after then we multiply by 1000

. Eg - 1.273



@ According to this question @

here is only two digit no

So

100 x will be 127.2727

we subtract 100x -x you will get this

100x - x = 127.2727 - 1.272727

99x = 126 .000

x = 126/99

hence your answer is 126/ 99

you can divide this if it is divisible

126/99 = 14/11

hence your answer is 14/11

hope it helps

thank you

Answer 2

Answer:

1.272727....... = 14/11

Step-by-step explanation:

Let x = 1.272727.......(i)

Multiply x with 100 because after decimal point only two numbers are repeating  

So 100x = 127.272727.......(ii)

Subtracting equation (i) and (ii)

100x - x = 127.2727 - 1.272727

99x = 126 .000

∴x = 126/99

Taking 9 common from numerator  and denominator.

  x= 14/11

So 1.272727....... can be written as 14/11 in p/q form.