Respuesta :
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 = [tex]2\frac{3}{4} \text{ pounds }[/tex]
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,
[tex]2\frac{3}{4} = \frac{2 \times 4 + 3}{4} = \frac{11}{4} \text{ pounds }[/tex]
Weight of other package = [tex]1\frac{3}{4} \text{ pounds }[/tex]
Similarly, converting to improper fraction, we get
[tex]1\frac{3}{4} = \frac{1 \times 4 + 3}{4} = \frac{7}{4} \text{ pounds }[/tex]
Find total weight of the packages:
Total weight = weight of one package + weight of other package
[tex]\text{Total weight } = \frac{11}{4} + \frac{7}{4} = \frac{11+7}{4} = \frac{18}{4} = \frac{9}{2}\\\\\text{Total weight } = \frac{9}{2} = 4\frac{1}{2} \text{ or } 4.5[/tex]
Thus total weight of package is 4.5 pounds
