last week, vincenzo jogged 3 1/2 miles during the week and 5/6 miles on the weekend. this week, he jogged 3/10 miles less than last week. how many miles vincenzo jog this week?
\(3\frac{1}{2}\)=\(\frac{7}{2}\) as an improper fraction
\(\frac{7}{2}\) = \(\frac{21}{6}\)
\(\frac{21}{6}\)+ \(\frac{5}{6}\)=\(\frac{26}{6}\)= \(\frac{13}{3}\)
So Vincenzo jogged 13/3 miles during the whole week
Now we need to subtract 3/10
\(\frac{13}{3}\)-\(\frac{3}{10}\)= \(\frac{130}{30} - \frac{9}{30}\)=\(\frac{121}{30}\)
121/30 miles or 4 1/30 miles
Let me know if I did anything wrong!