Question

Express 0 .3178 in the form p/q , where p and q are integers.
BTW the 78 have the line over them​

Answer 1

Answer:

let x= 0.3178787878..... (1)

now multiplying equation (1) by 100 because bar is over two numbers

we get= 100x=31.78787878.... (2)

now subtracting equation (2) from equation (1) we get

99x=31.47

x=3147/9900

x= 1049/3300

hope it helps you

please mark as brainliest

Answer 2

Answer:

$\frac{p}{q}$ =  $\frac{3147}{9900}$  

Step-by-step explanation:

let $x$ = $0.31\bar{78}$

Multiple 1000 in both side

1000$x$ = $3178.\bar{78}$ ---> (1)

Multiple 100 in both side

100$x$ = $31.\bar{78}$      ---> (2)

Now Subtract Equation (1) From Equation (2)    

     1000$x$ =  $3178.\bar{78}$

(-)      100$x$ =     $31.\bar{78}$

    9900$x$ =  $3147$

          $\therefore x$ =  $\frac{3147}{9900}$