Question 62

Find the value of $$5\frac{1}{2} - \left[3\frac{1}{4} + 6 - 4 \div 2\right]$$

Solution

$$5\frac{1}{2} - \left[3\frac{1}{4} + 6 - 4 \div 2\right] = \dfrac{11}{2} - [\dfrac{13}{4} + 6 - \dfrac{4}{2}]$$

$$= \dfrac{11}{2} - [\dfrac{13}{4} + 6 - 2] = \dfrac{11}{2} - [\dfrac{13}{4} + 4] = \dfrac{11}{2} - \dfrac{29}{4} = \dfrac{22-29}{4} = \dfrac{-7}{4}$$


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