Question

7 1/7 - 6 13/14

`7 (1)/(7) - 6 (13)/(14)`

Answer 1

we'd first off, convert the mixed fractions to "improper" and then do the subtraction from there, so let's do so,


`\bf \stackrel{mixed}{7(1)/(7)}\implies \cfrac{7\cdot 7+1}{7}\implies \stackrel{improper}{\cfrac{49}{7}} \\\\\\ \stackrel{mixed}{6(13)/(14)}\implies \cfrac{6\cdot 14+13}{14}\implies \stackrel{improper}{\cfrac{97}{14}}\\\\ -------------------------------\\\\ \cfrac{49}{7}-\cfrac{97}{14}\impliedby \textit{our LCD is 14}\implies \cfrac{(2)49~~-~~(1)97}{14} \\\\\\ \cfrac{98~~-~~97}{14}\implies \cfrac{1}{14}`