Question

Express 0.357 7is termenatite in form of p÷q

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 .