Answer
$2\frac{6}{7}$
Work Step by Step
To convert a mixed fraction to an improper fraction, multiply the whole number by the denominator then add the numerator, write the result over the original denominator.
$6\frac{2}{7}\div2\frac{1}{5}=\frac{6*7+2}{7}\div\frac{2*5+1}{5}=\frac{44}{7}\div\frac{11}{5}$
To divide fractions, multiply the first fraction by the reciprocal
of the second fraction. To multiply fractions, multiply numerator times numerator
to find the numerator of the product and denominator
times denominator to find the denominator of the product.
$\frac{44}{7}\div\frac{11}{5}=\frac{44}{7}*\frac{5}{11}=\frac{220}{77}=\frac{20}{7}=2\frac{6}{7}$