Question

Вычислите: 3 1\4 :( 7\8 – 2\3 ) – 2•1 1\4 .

Answer 1

13,1

Пошаговое объяснение:

$3\frac{1}{4} :(\frac{7}{8}-\frac{2}{3} )-2*1\frac{1}{4}=13,1$

$1)\frac{7}{8} -\frac{2}{3} =\frac{21}{24} -\frac{16}{24} =\frac{5}{24} \\\\2) 3\frac{1}{4} :\frac{5}{24} =\frac{13}{4} *\frac{24}{5} =\frac{78}{5} \\\\3)2*1\frac{1}{4} =\frac{2}{1} *\frac{5}{4} =\frac{5}{2} \\\\4)\frac{78}{5} -\frac{5}{2} =15,6-2,5=13,1$

Answer 2

13.1

Пошаговое объяснение:

1.

$\frac{7}{8} - \frac{2}{3} = \frac{21}{24} - \frac{16}{24} = \frac{21 - 16}{24} = \frac{5}{24}$

2.

$3 \frac{1}{4} \div \frac{5}{24} = \frac{13}{4} \div \frac{5}{24} = \frac{13}{4} \times \frac{24}{5} = \frac{13 \times 24}{4 \times 5} = \frac{78}{5}$

3.

$2 \times 1 \frac{1}{4} = 2 \times \frac{5}{4} = \frac{10}{4}$

4.

$\frac{78}{5} - \frac{10}{4} = \frac{312}{20} - \frac{50}{20} = \frac{312 - 50}{20} = \frac{262}{20} = \frac{131}{10} = 13.1$