Question

vă roooooog AJUTAȚIMĂ pliiizzz​

Answer 1

Explicație pas cu pas:

$2 \times \{1 + \frac{1}{2} \times [2 + \frac{1}{4} \div (0.375 - 0.0625)]\} =$

$= 2 \times [1 + \frac{1}{2} \times (2 + 0.25 \div 0.3125)]$

$= 2 \times [1 + \frac{1}{2} \times (2 + 0.8)]$

$= 2 \times (1 + \frac{1}{2} \times 2.8)$

$= 2 \times (1 + 1.4)$

$= 2 \times 2.4$

$= 4.8$

sau:

$0.375 = \frac{375}{1000} = \frac{3}{8}$

$0.0625 = \frac{625}{10000} = \frac{1}{16}$

$0.375 - 0.0625 = \frac{3}{8} - \frac{1}{16} = \frac{3 \times 2 - 1}{16} = \frac{5}{16}$

deci:

$2 \times \{1 + \frac{1}{2} \times [2 + \frac{1}{4} \div (0.375 - 0.0625)]\} =$

$= 2 \times [1 + \frac{1}{2} \times (2 + \frac{1}{4} \div \frac{5}{16}) ]$

$=2 \times [1 + \frac{1}{2} \times (2 + \frac{1}{4} \times \frac{16}{5}) ]$

$=2 \times [1 + \frac{1}{2} \times (2 + \frac{4}{5}) ]$

$= 2 \times (1 + \frac{1}{2} \times\frac{2 \times 5 + 4}{5})$

$= 2 \times (1 + \frac{1}{2} \times\frac{14}{5})$

$= 2 \times (1 + \frac{7}{5})$

$= 2 \times \frac{5 + 7}{5}$

$= 2 \times \frac{12}{5}$

$= \frac{24}{5} = 4.8$