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What value should come in place of the question mark (??) in the given expression? [427×258÷118]+[513÷229×178]=?[4\frac{2}{7} \times 2\frac{5}{8} \div 1\frac{1}{8}] + [5\frac{1}{3} \div 2\frac{2}{9} \times 1\frac{7}{8}] = ?

What value should come in place of the question mark (??) in the given expression? [427×258÷118]+[513÷229×178]=?[4\frac{2}{7} \times 2\frac{5}{8} \div 1\frac{1}{8}] + [5\frac{1}{3} \div 2\frac{2}{9} \times 1\frac{7}{8}] = ?

  1. 141214\frac{1}{2}

  2. 123412\frac{3}{4}

  3. 151415\frac{1}{4}

  4. 131213\frac{1}{2}

  5. 162316\frac{2}{3}

Show answer & explanation

Correct answer

141214\frac{1}{2}

Explanation

Term 1: (307×218)÷98=908×89=10(\frac{30}{7} \times \frac{21}{8}) \div \frac{9}{8} = \frac{90}{8} \times \frac{8}{9} = 10. Term 2: (163÷209)×158=(163×920)×158=125×158=92=4.5(\frac{16}{3} \div \frac{20}{9}) \times \frac{15}{8} = (\frac{16}{3} \times \frac{9}{20}) \times \frac{15}{8} = \frac{12}{5} \times \frac{15}{8} = \frac{9}{2} = 4.5. Sum: 10+4.5=14.5=141210 + 4.5 = 14.5 = 14\frac{1}{2}.

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