Mathematics: select the graph for the solution of the open sentence click until correct graph appears [×] 1

select the graph for the solution of the open sentence

Ответ:

dbegay36

30.08.2021

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?

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 = $2\frac{3}{4} \text{ pounds }$

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,

$2\frac{3}{4} = \frac{2 \times 4 + 3}{4} = \frac{11}{4} \text{ pounds }$

Weight of other package = $1\frac{3}{4} \text{ pounds }$

Similarly, converting to improper fraction, we get

$1\frac{3}{4} = \frac{1 \times 4 + 3}{4} = \frac{7}{4} \text{ pounds }$

Find total weight of the packages:

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

$\text{Total weight } = \frac{11}{4} + \frac{7}{4} = \frac{11+7}{4} = \frac{18}{4} = \frac{9}{2}\\\\\text{Total weight } = \frac{9}{2} = 4\frac{1}{2} \text{ or } 4.5$

Thus total weight of package is 4.5 pounds

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