Question

4/5 - 7/3 × 3/7 + 1/5 × (2 + 1/2) - 7/3 + 4: 6/5​

Answer 1

Respuesta:

$1\frac{3}{10}$

Explicación:

$\frac{4}{5}-\frac{7}{3}\cdot \frac{3}{7}+\frac{1}{5}\left(2+\frac{1}{2}\right)-\frac{7}{3}+4\div \frac{6}{5}\\\\2+\frac{1}{2}\\\\=\frac{2\cdot \:2}{2}+\frac{1}{2}\\\\=\frac{2\cdot \:2+1}{2}\\\\=\frac{5}{2}\\\\=\frac{4}{5}-\frac{7}{3}\cdot \frac{3}{7}+\frac{1}{5}\cdot \frac{5}{2}-\frac{7}{3}+4\div \frac{6}{5}\\\\\frac{7}{3}\cdot \frac{3}{7}\\\\=1\\\\=\frac{4}{5}-1+\frac{1}{5}\cdot \frac{5}{2}-\frac{7}{3}+4\div \frac{6}{5}$

$\frac{1}{5}\cdot \frac{5}{2}\\\\=\frac{1}{2}\\\\=\frac{4}{5}-1+\frac{1}{2}-\frac{7}{3}+4\div \frac{6}{5}\\\\4\div \frac{6}{5}\\\\=\frac{4}{1}\div \frac{6}{5}\\\\=\frac{4}{1}\cdot \frac{5}{6}\\\\=\frac{2}{1}\cdot \frac{5}{3}\\\\=\frac{2\cdot \:5}{1\cdot \:3}\\\\=\frac{10}{1\cdot \:3}\\\\=\frac{10}{3}\\\\=\frac{4}{5}-1+\frac{1}{2}-\frac{7}{3}+\frac{10}{3}\\\\\frac{4}{5}-1\\\\=-\frac{1\cdot \:5}{5}+\frac{4}{5}\\\\=\frac{-1\cdot \:5+4}{5}\\\\=\frac{-1}{5}\\\\=-\frac{1}{5}$

$=-\frac{1}{5}+\frac{1}{2}-\frac{7}{3}+\frac{10}{3}\\\\-\frac{1}{5}+\frac{1}{2}\\\\=-\frac{2}{10}+\frac{5}{10}\\\\=\frac{-2+5}{10}\\\\=\frac{3}{10}\\\\=\frac{3}{10}-\frac{7}{3}+\frac{10}{3}\\\\\frac{3}{10}-\frac{7}{3}\\\\=\frac{9}{30}-\frac{70}{30}\\\\=\frac{9}{30}-\frac{70}{30}\\\\=\frac{-61}{30}\\\\=-\frac{61}{30}\\\\=-\frac{61}{30}+\frac{10}{3}\\\\=-\frac{61}{30}+\frac{100}{30}\\\\=\frac{-61+100}{30}\\\\=\frac{39}{30}\\\\=\frac{13}{10}$

$=1\frac{3}{10}$