Weight in Robbie backpack is [tex]\frac{27}{6}[/tex] pounds or 4.5 pounds
Solution:
Given that Today Robbie is carrying his history textbook and his lunch in his backpack.
To find: weight in Robbie's backpack
From given,
Weight of history book = [tex]2\frac{5}{6}[/tex] pounds
Weight of lunch = [tex]1\frac{2}{3}[/tex] pounds
weight in Robbie's backpack = Weight of history book + Weight of lunch
[tex]\rightarrow 2\frac{5}{6} + 1\frac{2}{3}[/tex]
Convert the mixed fractions
[tex]\rightarrow \frac{6 \times 2 + 5}{6} + \frac{3 \times 1 + 2}{3}\\\\\rightarrow \frac{17}{6} + \frac{5}{3}\\\\\rightarrow \frac{17+10}{6}\\\\\rightarrow \frac{27}{6}[/tex]
Thus weight in Robbie backpack is [tex]\frac{27}{6}[/tex] pounds or 4.5 pounds
