Question

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5\(\dfrac{1}{2}\) + (-3) 4\(\dfrac{9}{11}\)+ (-2\(\dfrac{1}{11}\)) 2\(\dfrac{1}{2}\)+ (-6) (\(\dfrac{-4}{5}\)) + \(\dfrac{1}{2}\)

Answer 1

\(5\dfrac{1}{2}+\left(-3\right)4\dfrac{9}{11}+\left(-2\dfrac{1}{11}\right)2\dfrac{1}{2}+\left(-6\right)\left(-\dfrac{4}{5}\right)+\dfrac{1}{2}\)

\(=\dfrac{11}{2}+\left(-3\right).\dfrac{53}{11}+\left(-\dfrac{23}{11}\right).\dfrac{5}{2}+\dfrac{24}{5}+\dfrac{1}{2}\)

\(=\dfrac{11}{2}+\left(-\dfrac{159}{11}\right)+\left(-\dfrac{115}{22}\right)+\dfrac{24}{5}+\dfrac{1}{2}\)

\(=\left(\dfrac{11}{2}+\dfrac{1}{2}\right)+\left(-\dfrac{318}{22}\right)+\left(-\dfrac{115}{22}\right)+\dfrac{24}{5}\)

\(=\dfrac{12}{2}+\left(-\dfrac{433}{22}\right)+\dfrac{24}{5}\)

\(=-\dfrac{977}{110}\)

Answer 2

\(5\dfrac{1}{2}+\left(-3\right).4\dfrac{9}{11}+\left(-2\dfrac{1}{11}\right).2\dfrac{1}{2}+\left(-6\right).\left(-\dfrac{4}{5}\right)+\dfrac{1}{2}\)

\(=\dfrac{11}{2}+\left(-3\right).\dfrac{53}{11}+\left(-\dfrac{23}{11}\right).\dfrac{5}{2}+\left(-6\right).\left(-\dfrac{4}{5}\right)+\dfrac{1}{2}\)

\(=\dfrac{11}{2}+\left(-14\dfrac{5}{11}\right)+\left(-5\dfrac{5}{22}\right)+4\dfrac{4}{5}+\dfrac{1}{2}\)

\(=\dfrac{11}{2}+\left(-\dfrac{159}{11}\right)+\left(-\dfrac{115}{22}\right)+\dfrac{24}{5}+\dfrac{1}{2}\)

\(=\dfrac{11}{2}+\left(-\dfrac{318}{22}\right)+\left(-\dfrac{115}{22}\right)+\dfrac{24}{5}+\dfrac{1}{2}\)

\(=\left(\dfrac{11}{2}+\dfrac{1}{2}\right)+\left[\left(-\dfrac{318}{22}\right)+\left(-\dfrac{115}{22}\right)\right]+\dfrac{24}{5}\)

\(=\dfrac{11+1}{2}+\dfrac{\left(-318\right)+\left(-115\right)}{22}+\dfrac{24}{5}\)

\(=\dfrac{12}{2}+\left(-\dfrac{433}{22}\right)+\dfrac{24}{5}\)

\(=-8\dfrac{97}{110}=-\dfrac{977}{110}\)