Question

A shipment of sugar fills 2 2/9 containers. If each container holds 2 1/5 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

The answer to your question is 4 8/9 tons of sugar

Explanation:

Data

1 shipment = 2 2/9 containers

1 container = 2 1/5 tons

Process

1.- Convert mixed fractions to improper fractions

2 2/9 = (18 + 2) / 9 = 20/9 containers

2 1/5 = (10 + 1) / 5 = 11/5 tons

2.- Use proportions to solve this problem

1 container ---------------- 11/5 tons

20/9 containers ---------- x

x = (20/9)(11/5) / 1

x = 220 / 45

3.- Convert to mixed fractions

4

45 220

-180

40

4 40/45 = 4 8/9 tons