## Algebra: A Combined Approach (4th Edition)

$2\frac{6}{7}$
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. $\frac{44}{7}\div\frac{11}{5}=\frac{44}{7}*\frac{5}{11}=\frac{220}{77}=\frac{20}{7}=2\frac{6}{7}$