Question

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

Answer 1

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

Answer 2

Hey there!

3 1/2 - 2 5/7

= (3 * 2 + 1 / 2) - (2 * 7 + 5 / 7)

= (6 + 1 / 2) - (14 + 5 / 7)

= 7/2 - 19/7

= 7/2 - 19/7

= 7 * 7 / 2 * 7 - 19 * 2 / 2 * 7

= 49/14 - 38/14

= 49 - 38 / 14 - 0

= 11 / 14

Therefore, your answer is: 11/14

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)