Question

Express 0.357 bar on 7 in the form of p/q where p and q integers and q≠0.

Answer 1

Let 0.35777777.... be y


y= 0.3577777..... -------- eq. 1

By multiplying both sides with 1000
1000y = 357.777777..... ----- eq.2

By subtracting eq.1 from eq.2

1000y-y = 357.7777... - 0.357777...
999y = 357.42
y = 357.42/999
=5957/16650.

So, 0.357777.. would be written as 5957/16650 in form of p/q .

Answer 2

Answer:

Step-by-step explanation:

Let 0.357 bar on 7 be x

10 X =0.35777... × 10 =3.57777...

10x= 3 + x

10x-x=3

9x=3

X=3/9

X=1/3