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To find the value of;
[tex]\frac{(\frac{6}{7})}{(\frac{2}{7})}[/tex]When dividing fractions, for example a divided by b is equals a times 1/b;
[tex]a\text{ divided by b = a }\times\frac{1}{b}[/tex]note that the divisor which is b is inversed and multiplied.
So, let us apply the same rule to the given question.
The divisor which is the second fraction for the question is 2/7, we need to inverse 2/7 and multiply it by the first fraction.
The inverse of 2/7 is 7/2, So;
[tex]\frac{(\frac{6}{7})}{(\frac{2}{7})}=\text{ }\frac{6}{7}\times\frac{7}{2}=\frac{(6\times7)}{(7\times2)}=\frac{42}{14}[/tex]And finally;
[tex]\frac{42}{14}=3[/tex]Therefore the final answer is 3.
[tex]\frac{(\frac{6}{7})}{(\frac{2}{7})}=\text{ 3}[/tex]