Multiply $6$ and $\frac{1}{7}$ to get $\frac{6}{7}$.
$$\frac{6}{7}=\frac{6}{7}\text{ and }6\times \frac{1}{7}=6\times 0.142857$$
Compare $\frac{6}{7}$ and $\frac{6}{7}$.
$$\text{true}\text{ and }6\times \frac{1}{7}=6\times 0.142857$$
Multiply $6$ and $\frac{1}{7}$ to get $\frac{6}{7}$.
$$\text{true}\text{ and }\frac{6}{7}=6\times 0.142857$$
Multiply $6$ and $0.142857$ to get $0.857142$.
$$\text{true}\text{ and }\frac{6}{7}=0.857142$$
Convert decimal number $0.857142$ to fraction $\frac{857142}{1000000}$. Reduce the fraction $\frac{857142}{1000000}$ to lowest terms by extracting and canceling out $2$.
$$\text{true}\text{ and }\frac{6}{7}=\frac{428571}{500000}$$
Least common multiple of $7$ and $500000$ is $3500000$. Convert $\frac{6}{7}$ and $\frac{428571}{500000}$ to fractions with denominator $3500000$.
$$\text{true}\text{ and }\frac{3000000}{3500000}=\frac{2999997}{3500000}$$
Compare $\frac{3000000}{3500000}$ and $\frac{2999997}{3500000}$.
$$\text{true}\text{ and }\text{false}$$
The conjunction of $\text{true}$ and $\text{false}$ is $\text{false}$.