Question

Today Robbie is carrying his history textbook and his lunch in his backpack. If the history textbook weighs 2 5/6 pounds and his lunch weighs 1 2/3 pounds, how much weight is in Robbie's backpack?

Answer 1

Weight in Robbie backpack is $\frac{27}{6}$ 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 = $2\frac{5}{6}$ pounds

Weight of lunch = $1\frac{2}{3}$ pounds

weight in Robbie's backpack = Weight of history book + Weight of lunch

$\rightarrow 2\frac{5}{6} + 1\frac{2}{3}$

Convert the mixed fractions

$\rightarrow \frac{6 \times 2 + 5}{6} + \frac{3 \times 1 + 2}{3}\\\\\rightarrow \frac{17}{6} + \frac{5}{3}\\\\\rightarrow \frac{17+10}{6}\\\\\rightarrow \frac{27}{6}$

Thus weight in Robbie backpack is $\frac{27}{6}$ pounds or 4.5 pounds