Question

Show that 3.76767676............ can be expressed in the form p/q ,where p
and q are integers and q ≠ 0.

Answer 1

Step-by-step explanation:

The number 3.767676.... can be written as 3. 67 bar

Therefore Let x=3.67bar ...................(I)

Now as under the bar two digits are repeating

Therefore 100x=367.67bar ...................(ii)

Subtracting EQ(I) and EQ (ii)

100x-x=367.67bar – 3.67bar

99x= 364

x= 364/99