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Simplify: 313÷56 of 115+34×11323 of 112114÷56\frac{3\frac{1}{3} \div \frac{5}{6} \text{ of } 1\frac{1}{5} + \frac{3}{4} \times 1\frac{1}{3}}{\frac{2}{3} \text{ of } 1\frac{1}{2} - 1\frac{1}{4} \div \frac{5}{6}}

Simplify: 313÷56 of 115+34×11323 of 112114÷56\frac{3\frac{1}{3} \div \frac{5}{6} \text{ of } 1\frac{1}{5} + \frac{3}{4} \times 1\frac{1}{3}}{\frac{2}{3} \text{ of } 1\frac{1}{2} - 1\frac{1}{4} \div \frac{5}{6}}

  1. 263-\frac{26}{3}

  2. 263\frac{26}{3}

  3. 133-\frac{13}{3}

  4. 133\frac{13}{3}

Show answer & explanation

Correct answer

263-\frac{26}{3}

Explanation

Using BODMAS, 'of' means multiplication. Numerator: 313=1033\frac{1}{3}=\frac{10}{3}, 56\frac{5}{6} of 115=56×65=11\frac{1}{5}=\frac{5}{6}\times\frac{6}{5}=1, so 103÷1=103\frac{10}{3}\div1 = \frac{10}{3}. Then 34×43=1\frac{3}{4}\times\frac{4}{3}=1. Numerator = 103+1=133\frac{10}{3}+1=\frac{13}{3}. Denominator: 23\frac{2}{3} of 112=23×32=11\frac{1}{2}=\frac{2}{3}\times\frac{3}{2}=1, 114÷56=54×65=321\frac{1}{4}\div\frac{5}{6}=\frac{5}{4}\times\frac{6}{5}=\frac{3}{2}. Denominator = 132=121 - \frac{3}{2} = -\frac{1}{2}. Result = 133÷(12)=263\frac{13}{3} \div (-\frac{1}{2}) = -\frac{26}{3}.

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