Question

(3/8+ -3/4 +7/12):5/6+1/2

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(    /       xin hiểu là phân số)

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Answer 1

\(\left(\frac{3}{8}+\frac{-3}{4}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)

\(=\frac{5}{24}.\frac{6}{5}+\frac{1}{2}\)

\(=\frac{1}{4}+\frac{1}{2}\)

\(=\frac{3}{4}\)

Answer 2

\(\left[\frac{3}{8}+\frac{-3}{4}+\frac{7}{12}\right]:\frac{5}{6}+\frac{1}{2}\)

\(=\left[\frac{3\cdot3}{24}+\frac{-3\cdot6}{24}+\frac{7\cdot2}{24}\right]:\frac{5}{6}+\frac{1}{2}\)

\(=\left[\frac{9}{24}+\frac{-18}{24}+\frac{14}{24}\right]:\frac{5}{6}+\frac{1}{2}\)

\(=\left[\frac{9+(-18)+14}{24}\right]:\frac{5}{6}+\frac{1}{2}\)

\(=\frac{5}{24}:\frac{5}{6}+\frac{1}{2}\)

\(=\frac{5}{24}\cdot\frac{6}{5}+\frac{1}{2}=\frac{1}{4}+\frac{1}{2}=\frac{1}{4}+\frac{1\cdot2}{4}=\frac{1}{4}+\frac{2}{4}=\frac{3}{4}\)

Answer 3

\(\left(\frac{3}{8}+\frac{-3}{4}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)

\(=\left(\frac{9}{24}+\frac{-18}{24}+\frac{14}{24}\right).\frac{6}{5}+\frac{1}{2}\)

\(=\frac{5}{24}.\frac{6}{5}+\frac{1}{2}\)

\(=\frac{1}{4}+\frac{1}{2}\)

\(=\frac{3}{4}\)