Question

Gina wants to ship 3 books that weigh 2 7/16 pounds 1 7/8 pounds and 1/2 pound the max weight she can ship is 6 pounds estimate to see if Gina can ship all 3 books explain the answer.

Answer 1

First note that:

• $2\dfrac{7}{16}=2+\dfrac{7}{16},$
• $1\dfrac{7}{8}=1+\dfrac{7}{8}.$

Then add all three numbers:

$2\dfrac{7}{16}+1\dfrac{7}{8}+\dfrac{1}{2}=2+\dfrac{7}{16}+1+\dfrac{7}{8}+\dfrac{1}{2}=(1+2)+\left(\dfrac{7}{16}+\dfrac{7}{8}+\dfrac{1}{2}\right)=3+\dfrac{7}{16}+\dfrac{14}{16}+\dfrac{8}{16}=3+\dfrac{7+14+8}{16}=3+\dfrac{29}{16}=3+1+\dfrac{13}{16}=4+\dfrac{13}{16}=4\dfrac{13}{16}.$

The total weight of books is $4\dfrac{13}{16}$ pounds that is less than 6 pounds.

Answer: Gina can ship all 3 books