Introductory Algebra for College Students (7th Edition)

$\frac{3}{7} \div \frac{1}{7}$ Change division to multiplication. Invert $\frac{1}{7}$ and write its reciprocal. $\frac{3}{7}$ * $\frac{7}{1}$ = $\frac{3*7}{7*1}$ = $\frac{21}{7}$ Since 7 is the greatest common factor of 21 and 7, divide numerator and denominator by 7 $\frac{7*3}{7*1}$ = 3