Question

0.067 bar on 67, simplify in p/q form

Answer 1

Answer:

67/990

Step-by-step explanation:

Let 0.067 bar=x

Now,  10x=0.67 bar--------------------------------------Equation 1

multiply x by 10 till only the barred numbers are there in decimals.Let the equation be 1

Find out how many digits are recurring ,that is,have a bar on them...here it is 2....so mutiply by 100 (1 followed by as many zeros as recurring digits)

so, 1000x=67.67bar

subtracting 10 x on both sides,

1000x-10x=67.67bar-0.67bar

990x=67

x=67/990