Question

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

Answer 1

Answer:

$\frac{12}{5}$

Step-by-step explanation:

Here, the given expression,

$2.4$

We can write,

$2.4=\frac{2.4}{1}$

$=\frac{2.4\times 10}{1\times 10}$

$=\frac{24}{10}$

$\implies 2.4 = \frac{24}{10}$

Now, 24 = 2 × 2 × 2 × 3,

10 = 2 × 5,

⇒ H.C.F. of 24 and 10 = 2

$2.4=\frac{24/2}{10/2}$

$\implies 2.4=\frac{12}{5}$

Since, 12 and 5 are distinct integers,

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

Answer 2

The answer is 24/10, simplify that and u get 12/5, simplify that again and lastly u get 2 2/5. hope this helps