Question

(05.06 LC) Sophie lives 6 1/4 miles from the library. She biked 3 4/16 miles of the way there. How much farther does she have to go?​

Answer 1

let's firstly convert the mixed fractions to improper fractions.

`\stackrel{mixed}{6(1)/(4)}\implies \cfrac{6\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{25}{4}}~\hfill \stackrel{mixed}{3(4)/(16)} \implies \cfrac{3\cdot 16+4}{16} \implies \stackrel{improper}{\cfrac{52}{16}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{25}{4}~~ - ~~\cfrac{52}{16}\implies \cfrac{25}{4}~~ - ~~\cfrac{13}{4}\implies \cfrac{25-13}{4}\implies \cfrac{12}{4}\implies 3 ~~ \textit{more miles}`