Question

An empty box weighs 2 and 1/4 pounds. It is then filled with 16 and 2/3 pounds of fruit. What is the weight of the box when it is full ?

Answer 1

Given that an empty box weighs 2 and 1/4 pounds.

Weight of the fruit is 16 and 2/3 pounds.

Weight of filled box means total weight of box and the fruit.

So we will add both values.

2 and 1/4 pounds+ 16 and 2/3 pounds

= 2 + 1/4 + 16 + 2/3 pounds

= 2 + 16 + 1/4 + 2/3 pounds

= 18 + 1/4 + 2/3 pounds

$= 18 + \frac{1}{4}+\frac{2}{3} \; pounds$

$= 18 + \frac{1*3}{4*3}+\frac{2*4}{3*4} \; pounds$

$= 18 + \frac{3}{12}+\frac{8}{12} \; pounds$

$= 18 + \frac{3+8}{12} \; pounds$

$= 18 + \frac{11}{12} \; pounds$

Hence final answer is 18 and 11/12 pounds.