Explicație pas cu pas:
[tex]2 \times \{1 + \frac{1}{2} \times [2 + \frac{1}{4} \div (0.375 - 0.0625)]\} =[/tex]
[tex]= 2 \times [1 + \frac{1}{2} \times (2 + 0.25 \div 0.3125)] [/tex]
[tex]= 2 \times [1 + \frac{1}{2} \times (2 + 0.8)] [/tex]
[tex]= 2 \times (1 + \frac{1}{2} \times 2.8) [/tex]
[tex]= 2 \times (1 + 1.4) [/tex]
[tex] = 2 \times 2.4[/tex]
[tex]= 4.8[/tex]
sau:
[tex]0.375 = \frac{375}{1000} = \frac{3}{8} [/tex]
[tex]0.0625 = \frac{625}{10000} = \frac{1}{16} [/tex]
[tex]0.375 - 0.0625 = \frac{3}{8} - \frac{1}{16} = \frac{3 \times 2 - 1}{16} = \frac{5}{16} [/tex]
deci:
[tex]2 \times \{1 + \frac{1}{2} \times [2 + \frac{1}{4} \div (0.375 - 0.0625)]\} = [/tex]
[tex]= 2 \times [1 + \frac{1}{2} \times (2 + \frac{1}{4} \div \frac{5}{16}) ] [/tex]
[tex]=2 \times [1 + \frac{1}{2} \times (2 + \frac{1}{4} \times \frac{16}{5}) ] [/tex]
[tex]=2 \times [1 + \frac{1}{2} \times (2 + \frac{4}{5}) ] [/tex]
[tex]= 2 \times (1 + \frac{1}{2} \times\frac{2 \times 5 + 4}{5})[/tex]
[tex]= 2 \times (1 + \frac{1}{2} \times\frac{14}{5})[/tex]
[tex]= 2 \times (1 + \frac{7}{5})[/tex]
[tex]= 2 \times \frac{5 + 7}{5}[/tex]
[tex]= 2 \times \frac{12}{5}[/tex]
[tex]= \frac{24}{5} = 4.8[/tex]
