Question

Решите уравнение
(x+1/6)-2 5/8=3 11/24
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Answer 1

$(x+\frac{1}{6})-2\frac{5}{8}=3\frac{11}{24}$

$(x+\frac{1}{6})=2\frac{5}{8}+3\frac{11}{24}$

$x+\frac{1}{6}=2\frac{5*3}{8*3}+3\frac{11}{24}$

$x+\frac{1}{6}=2\frac{15}{24}+3\frac{11}{24}$

$x+\frac{1}{6}=5\frac{15+11}{24}$

$x+\frac{1}{6}=5\frac{26}{24}$

$x+\frac{1}{6}=5\frac{13}{12}$

$x=5\frac{13}{12}-\frac{1}{6}$

$x=5\frac{13}{12}-\frac{1*2}{6*2}$

$x=5\frac{13}{12}-\frac{2}{12}$

$x=5\frac{13-2}{12}$

$x=5\frac{11}{12}$