**9. Find the fractional part of each of these numbers:
(a) 8/5
(b) 1/7
(c) -11/4
(d) 7**

**Solution: **The fractional part of a real number x, denoted by {x}, is the difference between x and the largest integer less than or equal to x, that is,[x]

In other words, {x}=x-[x]

**(a)** 8/5

The fractional part of 8/5 is

{8/5}=8/5-{8/5]

=8/5-1

=(8/5)/5

=3/5

Therefore,

{8/5}=3/5

**(b)** 1/7

The fractional part of 1/7 is

{1/7}=1/7-[1/7]

=1/7-0

=1/7

Therefore,

{1/7}=1/7

**(c)** -11/4

The fractional part of -11/4 is

{-11/4}=-11/4-[-11/4]

=-11/4-(-3)

=-11/4+3

=(-11+12)/4

Therefore,

{-11/4}=1/4

**(d) **7

The fractional part of 7 is

{7}=7-[7]

=7-7

=0

Therefore,

{7}=0