Question 111

The value of $$\frac{5 - 2 \div 4 \times [5 - (3 - 4)] + 5 \times 4 \div 2  of  4}{4 + 4 \div 8  of  2 \times (8 - 5) \times 2 \div 3 - 8 \div 2  of  8}$$

Solution

$$\frac {5 -2 \div 4 \times[ 5-(3-4)] + 5 \times 4 \div 2 of 4 } { 4 + 4 \div 8 of 2 \times ( 8-5) \times 2 \div 3 - 8 \div 2 of 8 }$$ 

$$\Rightarrow \frac {5-2 \div 4 \times[ 5 - (-1)] + 5 \times 4 \div 2 of 4 } { 4 + 4 \div 8 of 2 \times ( 3) \times 2 \div 3 - 8 \div 2 of 8 } $$

$$\Rightarrow \frac {5-2 \div 4 \times 6 + 5 \times 4 \div 8} {4+4 \div 16 \times 3 \times 2 \div 3 -8 \div 16 } $$

$$\Rightarrow \frac { 5-  1/2 \times 6 +5 \times 1/2 } {4 + 1/4 \times 3 \times 2/3 - 1/2 }$$

$$\Rightarrow \frac { 5 -3 +5/2} {4 + 1/2 -1/2} $$

$$\Rightarrow \frac {9/2} {4} $$

$$\Rightarrow \frac {9} {8} $$ 


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