Today Raymond is carrying his history textbook and his lunch in his backpack. If the history textbook weighs $1\frac{1}{5}$ pounds and his lunch weighs $2\frac{2}{5}$ pounds, how much weight is in Raymond's backpack? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_$ pounds

Full solution

Q. Today Raymond is carrying his history textbook and his lunch in his backpack. If the history textbook weighs

1\frac{1}{5}

pounds and his lunch weighs

2\frac{2}{5}

pounds, how much weight is in Raymond's backpack?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_

pounds

Add weights: Step $1$ : Add the weights of the history textbook and lunch. $\newline$ $1 \frac{1}{5}$ pounds + $2 \frac{2}{5}$ pounds. $\newline$ Convert mixed numbers to improper fractions for easier addition: $\newline$ $1 \frac{1}{5} = \frac{6}{5}$ , $2 \frac{2}{5} = \frac{12}{5}$ . $\newline$ $\frac{6}{5} + \frac{12}{5} = \frac{18}{5}$ . $\newline$ Convert back to a mixed number: $\frac{18}{5} = 3 \frac{3}{5}$ pounds.