$$2 \times [(2/3-5/7)/1/6]+1+7/(2-1/6)$$
$\frac{3328}{693}\approx 4.802308802$
$$2\times \frac{\frac{2}{3}-\frac{5}{7}}{6}+1+\frac{7}{2-\frac{1}{6}}$$
$$2\times \frac{\frac{14}{21}-\frac{15}{21}}{6}+1+\frac{7}{2-\frac{1}{6}}$$
$$2\times \frac{\frac{14-15}{21}}{6}+1+\frac{7}{2-\frac{1}{6}}$$
$$2\times \frac{-\frac{1}{21}}{6}+1+\frac{7}{2-\frac{1}{6}}$$
$$2\times \frac{-1}{21\times 6}+1+\frac{7}{2-\frac{1}{6}}$$
$$2\times \frac{-1}{126}+1+\frac{7}{2-\frac{1}{6}}$$
$$2\left(-\frac{1}{126}\right)+1+\frac{7}{2-\frac{1}{6}}$$
$$\frac{2\left(-1\right)}{126}+1+\frac{7}{2-\frac{1}{6}}$$
$$\frac{-2}{126}+1+\frac{7}{2-\frac{1}{6}}$$
$$-\frac{1}{63}+1+\frac{7}{2-\frac{1}{6}}$$
$$-\frac{1}{63}+\frac{63}{63}+\frac{7}{2-\frac{1}{6}}$$
$$\frac{-1+63}{63}+\frac{7}{2-\frac{1}{6}}$$
$$\frac{62}{63}+\frac{7}{2-\frac{1}{6}}$$
$$\frac{62}{63}+\frac{7}{\frac{12}{6}-\frac{1}{6}}$$
$$\frac{62}{63}+\frac{7}{\frac{12-1}{6}}$$
$$\frac{62}{63}+\frac{7}{\frac{11}{6}}$$
$$\frac{62}{63}+7\times \frac{6}{11}$$
$$\frac{62}{63}+\frac{7\times 6}{11}$$
$$\frac{62}{63}+\frac{42}{11}$$
$$\frac{682}{693}+\frac{2646}{693}$$
$$\frac{682+2646}{693}$$
$$\frac{3328}{693}$$
Show Solution
Hide Solution
$\frac{2 ^ {8} \cdot 13}{3 ^ {2} \cdot 7 \cdot 11} = 4\frac{556}{693} = 4.8023088023088025$
