Question

Victor jogged 8 3/7 kilometers on Monday and 7 4/6 kilometers on Tuesday. What is the difference between these two distances?

Answer 1

first off, let's convert the mixed fractions to "improper", and then subtract.


`\bf \stackrel{mixed}{8(3)/(7)}\implies \cfrac{8\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{59}{7}} \\\\\\ \stackrel{mixed}{7(4)/(6)}\implies \cfrac{7\cdot 6+4}{6}\implies \stackrel{improper}{\cfrac{46}{6}}\implies \stackrel{simplified}{\cfrac{23}{3}}\\\\ -------------------------------\\\\ \cfrac{59}{7}~~-~~\cfrac{23}{3}\impliedby \textit{our LCD is 21}\implies \cfrac{3(59)~~-~~7(23)}{21} \\\\\\ \cfrac{177~~-~~161}{21}\implies \cfrac{16}{21}`