Question

What is 3 1/2 - 2 5/7 and show the work

Answer 1

$3 \frac{1}{2} -2 \frac{5}{7} = \frac{(3\cdot2)+1}{2} - \frac{(2\cdot7)+5}{7} = \frac{7}{2} - \frac{19}{7} \\\\= \frac{7\times 7}{2\times 7} - \frac{19\times 2}{7\times 2} = \frac{49}{14} - \frac{38}{14} \\\\= \frac{49-38}{14} =\boxed{\bf{\frac{11}{14}}}$