Question

A shipment of sugar fills 2 4/5 containers. If each container holds 3 2/7

tons of sugar, what is the amount of sugar in the entire shipment?

Write your answer as a mixed number in simplest form.

Answer 1

9 1/5 tons

Explanation:

Answer 2

total sugar=number of containters filled times sugar per container

convert each to a/b form to multiply easier since
`((a)/(b))((c)/(d))=(ac)/(bd)`

2 4/5=2+4/5=(2*5)/5+4/5=10/5+4/5=14/5

3 2/7=3+2/7=(3*7)/7+2/7=21/7+2/7=23/7

total sugar=number of containers times sugar per container

total sugar=2 4/5 times 3 2/7

total sugar=(14/5) times (23/7)

total sugar=(14*23)/(5*7)

total sugar=322/35

total sugar=35/35+35/35+35/35+35/35+35/35+35/35+35/35+35/35+35/35+7/35

total sugar=1+1+1+1+1+1+1+1+1+7/35

total sugar=9+7/35

total sugar=9+1/5

total sugar=9 1/5 tons