Question

48/9+6 7/8÷(5 11/12-3 5/6)×1 2/3+7 1/18=?

Answer 1

$4 \frac{8}{9} +6 \frac{7}{8} :(5 \frac{11}{12} -3 \frac{5}{6} ) * 1 \frac{2}{3} +7 \frac{1}{18} =17 \frac{4}{9} \\ \\$

$1) 5 \frac{11}{12} -3 \frac{5}{6}= 5 \frac{11}{12} -3 \frac{10}{12} = 2 \frac{1}{12} \\ \\ 2) 6 \frac{7}{8} : 2 \frac{1}{12} = \frac{55}{8} * \frac{12}{25} = \frac{11*3}{2*5} = \frac{33}{10} =3 \frac{3}{10} \\ \\ 3) 3 \frac{3}{10} * 1 \frac{2}{3} = \frac{33*5}{10*3} = \frac{11*1}{2*1} = \frac{11}{2} = 5 \frac{1}{2}$
$4) 4 \frac{8}{9} +5 \frac{1}{2} = \frac{44*2}{9*2} + \frac{11*9}{2*9} = \frac{88+99}{18} = \frac{187}{18} = 10\frac{7}{18} \\ \\ 5) 10\frac{7}{18} + 7 \frac{1}{18} =17 \frac{8}{18} = 17\frac{4}{9}$