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.
