As per the problem,
we have been asked to find the difference of the given fractions.
The given fractions are [tex] \frac{6}{7} \ and \ \frac{2}{3} [/tex]
[tex] \frac{6}{7}-\frac{2}{3} [/tex]
Make denominator equal and simplify we get
[tex] \Rightarrow \frac{6}{7}-\frac{2}{3} =\frac{6}{7}*\frac{3}{3}-\frac{2}{3}*\frac{7}{7} \\\\\Rightarrow \frac{6}{7}-\frac{2}{3} =\frac{18}{21}-\frac{14}{21} \\\\\Rightarrow \frac{6}{7}-\frac{2}{3} =\frac{18-14}{21}\\\\\Rightarrow \frac{6}{7}-\frac{2}{3} =\frac{4}{21} [/tex]
The difference of the given fractions=4/21
