Question 57

The value of $$4 \times 2 \div 4  of   (4 + 4 \div 4  of  4) - (4 \div 4  of  2 \times 4)$$ is:

Solution

= $$4\times2\div4\ of\ (4+4\div4\ of\ 4)-(4\div4\ of\ 2\times4)$$

= $$4\times2\div4\ of\ (4+4\div16)-(4\div8\times4)$$

= $$4\times2\div4\ of\ (4+\frac{1}{4})-\left(\frac{1}{2}\times4\right)$$

= $$4\times2\div4\ of\ (\frac{17}{4})-2$$

= $$4\times2\div17-2$$

= $$4\times\frac{2}{17}-2$$

= $$\frac{8}{17}-2$$

= $$\frac{8}{17}-\frac{34}{17}$$

= $$-\frac{26}{17}$$


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