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

Question

asked Nov 6, 2017 219k views

2 Answers

JR White · Answer 1 · 2017-11-11T15:27:12+0000

Answer:

(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.