Respuesta :
Answer:
[tex]\frac{12}{5}[/tex]
Step-by-step explanation:
Here, the given expression,
[tex]2.4[/tex]
We can write,
[tex]2.4=\frac{2.4}{1}[/tex]
[tex]=\frac{2.4\times 10}{1\times 10}[/tex]
[tex]=\frac{24}{10}[/tex]
[tex]\implies 2.4 = \frac{24}{10}[/tex]
Now, 24 = 2 × 2 × 2 × 3,
10 = 2 × 5,
⇒ H.C.F. of 24 and 10 = 2
[tex]2.4=\frac{24/2}{10/2}[/tex]
[tex]\implies 2.4=\frac{12}{5}[/tex]
Since, 12 and 5 are distinct integers,
Therefore, the simplest fractional form of 2.4 is 12/5.