Question

Write 2.318 (18 repeating) as a mixed fraction

Answer 1

2 159/500 is the mixed fraction for 2.318

Answer 2

`2(7)/(22)`.

Explanation:

Given : 2.3181818.

To find : Write as a mixed fraction.

Solution : We have given 2.3181818.

Let the number x = 2.3181818.

Here 2 digits are repeating so we will multiply it by 100 both sides,

100 x = 2.3181818 * 100.

100 x = 231. 8181.

We can write 231. 8181 in form of x .

100 x = 229.5 + 2.31818.

100 x = 229.5 + x

On subtracting both sides by x .

100 x - x = 229.5.

99 x = 229.5

On dividing both sides by 99

x =
`(229.5)/(99)`.

x =
`(2295)/(990)`.

x =
`2(7)/(22)`.

Therefore,
`2(7)/(22)`.