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Question 71
Simplify: $$\frac{\frac{1}{3}+\frac{1}{4}of\frac{2}{5}-\frac{1}{2}}{1\frac{2}{3}of\frac{3}{4}-\frac{3}{4}of\frac{4}{5}}$$
Solution
Expression :Â $$\frac{\frac{1}{3}+\frac{1}{4}of\frac{2}{5}-\frac{1}{2}}{1\frac{2}{3}of\frac{3}{4}-\frac{3}{4}of\frac{4}{5}}$$
= $$(\frac{1}{3}+\frac{1}{10}-\frac{1}{2})\div(\frac{5}{3}\times\frac{3}{4}-\frac{3}{5})$$
= $$(\frac{10+3-15}{30})\div(\frac{5}{4}-\frac{3}{5})$$
= $$(\frac{-2}{30})\div(\frac{13}{20})$$
= $$\frac{-1}{15}\times\frac{20}{13}$$
= $$\frac{-4}{39}$$
=> Ans - (D)
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