Question

8/2-[1+{5/2-(1/3-1/4)}​

Answer 1

Answer:

$\frac{7}{12}$

Step-by-step explanation:

$\frac{8}{2} - [1 + \{ \frac{5}{2} - ( \frac{1}{3} - \frac{1}{4} )\} \: ] \\ \\ = \frac{8}{2} - [1 + \{ \frac{5}{2} - ( \frac{(4 \times 1) - (3 \times 1)}{3 \times 4} )\} \: ] \\ \\ = \frac{8}{2} - [1 + \{ \frac{5}{2} - ( \frac{4 - 3}{12} )\} \: ] \\ \\ = \frac{8}{2} - [1 + \{ \frac{5}{2} - ( \frac{1}{12} )\} \: ] \\ \\ = \frac{8}{2} - [1 + \{ \frac{5}{2} - \frac{1}{12} \} \: ] \\ \\ = \frac{8}{2} - [1 + \{ \frac{(6 \times 5) - (1 \times 1)}{12} \} \: ] \\ \\ = \frac{8}{2} - [1 + \{ \frac{30 - 1}{12} \} \: ] \\ \\ = \frac{8}{2} - [1 + \frac{29}{12} ] \\ \\ = \frac{8}{2} - [ \frac{(12 \times 1) + (1 \times 29)}{12} ] \\ \\ = \frac{8}{2} - [ \frac{12 + 29}{12} ] \\ \\ = \frac{8}{2} - \frac{41}{12} \\ \\ = \frac{(6 \times 8) - (1 \times 41)}{12} \\ \\ = \frac{48 - 41}{12} \\ \\ = \frac{7}{12}$

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