Question

30. Вычислите: 2) (7-1 5/12): 6,7+(5,75-3 1/6 +): 15,5=
Пожалуйста распишите по действиям​

Answer 1

Ответ:

1

Пошаговое объяснение:

$\displaystyle (7 - 1 \frac{5}{12} ) \div 6.7 + (5.75 - 3 \frac{1}{6} ) \div 15.5 = 1$

1)

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

2)

$\displaystyle 5.75 - 3 \frac{1}{6} = 5 \frac{3}{4} - 3 \frac{1}{6} = \frac{23}{4} - \frac{19}{6} = \frac{23 \times 3 - 19 \times 2}{12} = \frac{69 - 38}{12} = \frac{31}{12} = 2 \frac{7}{12}$

3)

$\displaystyle 5 \frac{7}{12} \div 6.7 = \frac{67}{12} \div \frac{67}{10} = \frac{67}{12} \times \frac{10}{67} = \frac{5}{6}$

4)

$\displaystyle 2 \frac{7}{12} \div 15.5 = \frac{31}{12} \div \frac{155}{10} = \frac{31}{12} \times \frac{2}{31} = \frac{1}{6}$

5)

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