Simplify

Simplify

Simplify / मान ज्ञात कीजिए। :
$5\frac{1}{2} +6\frac{1}{2} \:- 8\frac{1}{4} + 24 -\: [9\:- \{6- \:(10-\: \overline{4-3})\}]$

$12\frac{1}{4}$ $12\frac{3}{4}$ $15\frac{1}{4}$ $15\frac{3}{4}$

Detailed Solution & Logic

Correct Answer:

$15\frac{3}{4}$

$5\frac{1}{2} + 6\frac{1}{2} - 8\frac{1}{4} + 24 - [9 - {6 - (10 - (4-3))}]$
= 5.5 + 6.5 - 8.25 + 24 - [9 - {6 - (10 - 1)}]
= 5.5 + 6.5 - 8.25 + 24 - [9 - (6 - 9)]
= 5.5 + 6.5 - 8.25 + 24 - [9 - (-3)]
= 5.5 + 6.5 - 8.25 + 24 - 12
= 12 - 8.25 + 24 - 12
= 3.75 + 24 - 12
= 15.75 = $15\frac{3}{4} $
Answer = ${15\frac{3}{4}}$

Detailed Solution & Logic

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