$$4/5(3/7+2/3)=4/5 \times 3/7 \times 4/5 \times 2/3$$
$\text{false}$
$$84\left(\frac{3}{7}+\frac{2}{3}\right)=35\times \frac{\frac{\frac{4}{5}\times 3}{7}\times 4}{5}\times 2$$
$$84\left(\frac{9}{21}+\frac{14}{21}\right)=35\times \frac{\frac{\frac{4}{5}\times 3}{7}\times 4}{5}\times 2$$
$$84\times \frac{9+14}{21}=35\times \frac{\frac{\frac{4}{5}\times 3}{7}\times 4}{5}\times 2$$
$$84\times \frac{23}{21}=35\times \frac{\frac{\frac{4}{5}\times 3}{7}\times 4}{5}\times 2$$
$$\frac{84\times 23}{21}=35\times \frac{\frac{\frac{4}{5}\times 3}{7}\times 4}{5}\times 2$$
$$\frac{1932}{21}=35\times \frac{\frac{\frac{4}{5}\times 3}{7}\times 4}{5}\times 2$$
$$92=35\times \frac{\frac{\frac{4}{5}\times 3}{7}\times 4}{5}\times 2$$
$$92=35\times \frac{\frac{\frac{4\times 3}{5}}{7}\times 4}{5}\times 2$$
$$92=35\times \frac{\frac{\frac{12}{5}}{7}\times 4}{5}\times 2$$
$$92=35\times \frac{\frac{12}{5\times 7}\times 4}{5}\times 2$$
$$92=35\times \frac{\frac{12}{35}\times 4}{5}\times 2$$
$$92=35\times \frac{\frac{12\times 4}{35}}{5}\times 2$$
$$92=35\times \frac{\frac{48}{35}}{5}\times 2$$
$$92=35\times \frac{48}{35\times 5}\times 2$$
$$92=35\times \frac{48}{175}\times 2$$
$$92=\frac{35\times 48}{175}\times 2$$
$$92=\frac{1680}{175}\times 2$$
$$92=\frac{48}{5}\times 2$$
$$92=\frac{48\times 2}{5}$$
$$92=\frac{96}{5}$$
$$\frac{460}{5}=\frac{96}{5}$$
$$\text{false}$$
Show Solution
Hide Solution
