Question

James wants to send two gifts by mail. one package's weight 2 3/4pounds the other package weights 1 3/4pounds

Answer 1

Question:

James wants to send two gifts by mail. one package weighs 2 3/4 pounds. the other package weighs 1 3/4 pounds. what is the total weight of the packages?

Answer:

The total weight of package is 4.5 pounds

Solution:

Given that James wants to send two gifts

From given question,

Weight of one package =
`2(3)/(4) \text{ pounds }`

Convert the above mixed fraction to improper fraction

Multiply the whole number by the denominator.

Add the answer from Step 1 to the numerator.

Write answer from Step 2 over the denominator.

Therefore,

`2(3)/(4) = (2 * 4 + 3)/(4) = (11)/(4) \text{ pounds }`

Weight of other package =
`1(3)/(4) \text{ pounds }`

Similarly, converting to improper fraction, we get

`1(3)/(4) = (1 * 4 + 3)/(4) = (7)/(4) \text{ pounds }`

Find total weight of the packages:

Total weight = weight of one package + weight of other package

`\text{Total weight } = (11)/(4) + (7)/(4) = (11+7)/(4) = (18)/(4) = (9)/(2)\\\\\text{Total weight } = (9)/(2) = 4(1)/(2) \text{ or } 4.5`

Thus total weight of package is 4.5 pounds