Question

Represent

`( - 7)/(5)`
on the number line​

Answer 1

Given:

The number is
`-(7)/(5)`.

To find:

The location of the given number of the number line.

Solution:

We have,

`Number=-(7)/(5)`

It can be written as

`Number=-(5+2)/(5)`

`Number=-(5)/(5)-(2)/(5)`

`Number=-1-(2)/(5)`

It means the number is less than -1 but more than -2. So, the number lies between -2 and -1.

The mixed fraction form of given number is

`Number=-(1+(2)/(5))`

`Number=-(1(2)/(5))`

`Number=-1(2)/(5)`

Divide the number in 5 equal parts between two consecutive integers.

Now each unit represents
`(1)/(5)`.

Since
`Number=-1-(2)/(5)`, therefore, it is 2 units left from -1.

The number line is given below.