Question

Which of the following expresses 2.4 as a fraction in simplest form?

Answer 1

2 4/9

Explanation:

Answer 2

`(12)/(5)`

Explanation:

Here, the given expression,

`2.4`

We can write,

`2.4=(2.4)/(1)`

`=(2.4* 10)/(1* 10)`

`=(24)/(10)`

`\implies 2.4 = (24)/(10)`

Now, 24 = 2 × 2 × 2 × 3,

10 = 2 × 5,

⇒ H.C.F. of 24 and 10 = 2

`2.4=(24/2)/(10/2)`

`\implies 2.4=(12)/(5)`

Since, 12 and 5 are distinct integers,

Therefore, the simplest fractional form of 2.4 is 12/5.