Find the value of \(\frac{3.6\times 0.48 \times 2.50}{0.12\times 0.09\times0.5}\).

Solution:

Given:
$ \frac{3.6 \times 0.48 \times 2.50}{0.12 \times 0.09 \times 0.5} $

Convert to fractions:

$3.6 = \frac{36}{10},; 0.48 = \frac{48}{100},; 2.5 = \frac{5}{2}$
$0.12 = \frac{12}{100},; 0.09 = \frac{9}{100},; 0.5 = \frac{1}{2}$

Substitute:

$ \frac{\frac{36}{10} \times \frac{48}{100} \times \frac{5}{2}}{\frac{12}{100} \times \frac{9}{100} \times \frac{1}{2}} $

Simplify:

Numerator = $ \frac{36 \times 48 \times 5}{10 \times 100 \times 2} = \frac{8640}{2000} = 4.32 $

Denominator = $ \frac{12 \times 9}{100 \times 100 \times 2} = \frac{108}{20000} = 0.0054 $

Final value:

$ \frac{4.32}{0.0054} = 800 $

✅ Final Answer: 800