(7-1целая5/12)÷6,7+(5,75-3целых 1/6) ÷15,5

Решите задачу:

$(7-1 \frac{5}{12}):6,7+(5,75-3 \frac{1}{6}):15,5= 1$

$1)7-1 \frac{5}{12}= 6\frac{12}{12} - 1\frac{5}{12} =5 \frac{7}{12}$

$2)5,75-3 \frac{1}{6} = \frac{575}{100} - \frac{19}{6} = \frac{23}{4}- \frac{19}{6}= \frac{138-76}{24} = \frac{62}{24}= \frac{31}{12}$

$3) 5\frac{7}{12} :6,7= \frac{67}{12}: \frac{67}{10}= \frac{67}{12} * \frac{10}{67} = \frac{5}{6}$

$4) \frac{31}{12} :15,5= \frac{31}{12} :\frac{155}{10}= \frac{31}{12} *\frac{10}{155} = \frac{5}{30} =\frac{1}{6}$

$5) \frac{5}{6} + \frac{1}{6}= \frac{6}{6} =1$