Question

решить уравнение. 6 5/6 - (2 7/8 - x)= 5 3/8

Answer 1

$1\frac{5}{12}$

Пошаговое объяснение:

$6\frac{5}{6}-(2\frac{7}{8}-x)=5\frac{3}{8};$

$6\frac{5}{6}-2\frac{7}{8}+x=5\frac{3}{8};$

$x=5\frac{3}{8}+2\frac{7}{8}-6\frac{5}{6};$

$x=5+2+\frac{3}{8}+\frac{7}{8}-6\frac{5}{6};$

$x=7+\frac{3+7}{8}-6\frac{5}{6};$

$x=7+\frac{10}{8}-6\frac{5}{6};$

$x=7+\frac{5}{4}-6\frac{5}{6};$

$x=\frac{7*4+5}{4}-\frac{6*6+5}{6};$

$x=\frac{33}{4}-\frac{41}{6};$

$x=\frac{33*3-41*2}{12};$

$x=\frac{99-82}{12};$

$x=\frac{17}{12};$

$x=1\frac{5}{12};$