Question

Выполнить действия (2 4/15 - 1 5/12) : 3 2/5 + 6 4/9 :2

Answer 1

$(2 \frac{4}{15} -1 \frac{5}{12} ):3 \frac{2}{5} +6 \frac{4}{9} :2= 3 \frac{17}{36} \\ \\ 1) 2 \frac{4*4}{15*4} -1 \frac{5*5}{12*5} =2 \frac{8}{60} -1 \frac{25}{60} =1 \frac{78}{60} - 1\frac{25}{60} = \frac{51}{60} \\ \\ 2) \frac{51}{60} : \frac{17}{5} = \frac{51*5}{60*17} = \frac{3}{12} = \frac{1}{4} \\ \\ 3) \frac{58}{9} * \frac{1}{2} = \frac{29}{9} =3 \frac{2}{9} \\ \\ 4) \frac{1}{4} +3 \frac{2}{9} = \frac{9}{36} +3 \frac{8}{36} =3 \frac{17}{36}$