Gina wants to ship 3 books that weigh 2 7/16 pounds, 1 7/8 pounds and 1/2 pound. the maximum weight she can ship is 6 pounds. how much did Gina ship?

Respuesta :

You have to find a common denominator 1st then add. So 16 is the common denominator the problem should be 2 7/16+1 14/16+8-16= 3 29/16 then you need to divide 29/16 you will have 4 13/16

Answer:

Gina can ship all three books.        

Step-by-step explanation:

Given : Gina wants to ship 3 books that weigh 2 7/16 pounds, 1 7/8 pounds and 1/2 pound. The maximum weight she can ship is 6 pounds.

To find : How much did Gina ship?

Solution :

First we convert the mixed fraction into simpler fraction,

First book weight [tex]2\frac{7}{16}=\frac{39}{16}[/tex] pounds.

Second book weight [tex]1\frac{7}{8}=\frac{15}{8}[/tex] pounds.

Third book weight [tex]\frac{1}{2}[/tex] pounds.

Total weight of books Gina have,

[tex]T=\frac{39}{16}+\frac{15}{8}+\frac{1}{2}[/tex]

[tex]T=\frac{39+30+8}{16}[/tex]

[tex]T=\frac{77}{16}[/tex]

[tex]T=4\frac{13}{16}[/tex]

[tex]T=4.81[/tex]

4.81<6 pounds.

Which means she can ship all 3 books.

Therefore, Gina can ship all three books.