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
`(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(5)/(6)` pounds

Weight of lunch =
`1(2)/(3)` pounds

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

`\rightarrow 2(5)/(6) + 1(2)/(3)`

Convert the mixed fractions

`\rightarrow (6 * 2 + 5)/(6) + (3 * 1 + 2)/(3)\\\\\rightarrow (17)/(6) + (5)/(3)\\\\\rightarrow (17+10)/(6)\\\\\rightarrow (27)/(6)`

Thus weight in Robbie backpack is
`(27)/(6)` pounds or 4.5 pounds