Simplify : $1 + 4/{2+3/{5-{1/2}}}

Question

Simplify : $1 + 4/{2+3/{5-{1/2}}} - 1/2(10 ÷ 2)$

Options:

A . – $1/2$

B . – $15/2$

C . 0

D . 1

Answer: Option C
Answer: (c)$1 + 4/{2+3/{5-{1/2}}} - 1/2(10 ÷ 2)$$1 + 4/{2+3/{{10 - 1}/2}} - 1/2(5)$= $1 + 4/{2+{6/9}} - 5/2 = 1+4/{2 + {2/3}} - 5/2$= $1 + 4/{8/3} - 5/2 = 1 + {4 × 3}/8 - 5/2$= $1 +3/2 - 5/2 ={2 + 3 -5}/2 = 0$

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