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(7)/(16)=2+(7)/(16),`
• 
  `1(7)/(8)=1+(7)/(8).`

Then add all three numbers:

`2(7)/(16)+1(7)/(8)+(1)/(2)=2+(7)/(16)+1+(7)/(8)+(1)/(2)=(1+2)+\left((7)/(16)+(7)/(8)+(1)/(2)\right)=3+(7)/(16)+(14)/(16)+(8)/(16)=3+(7+14+8)/(16)=3+(29)/(16)=3+1+(13)/(16)=4+(13)/(16)=4(13)/(16).`

The total weight of books is
`4(13)/(16)` pounds that is less than 6 pounds.

Answer: Gina can ship all 3 books