Question

Write 2.034 bar above 34 in the form of p/q where p and q are integers

Answer 1

Let x= 2.034 bar

Multiply both sides by 10 to get the bar immediately after the decimal

So now:

10x=20.34 bar -----1

Multiply both sides by 100 (because we want to remove the bar numbers to get the answer in p/q from)

100x = 2034.34 bar -----2

Subtract equation 1 from equation 2

100x - 10x =2034.34 bar - 20.34 bar

90x = 2014 (the bars will get cancelled)

x = 2014/90

x = 1007/45

Hope it helps you!