Question

Emma collected honey from 3 beehives. From the first hive, she collected $\frac{1}{3}$ gallon of honey. The last two hives yielded $\frac{1}{5}$ gallon each. How many gallons of honey did Emma collect in total?

• A. $\frac{8}{15}$
• B. $\frac{11}{15}$
• C. $\frac{2}{3}$
• D. $\frac{4}{3}$

Answer 1

The correct option is B $\frac{11}{15}$

Total amont of honey Emma collected
= $\frac{1}{3}+(2\times \frac{1}{5})$ ($\because$ last two hives yielded $\frac{1}{4}$ gallon each)
= $\frac{1}{3}+\frac{2}{5}$
= $\frac{1}{3}\times \frac{5}{5}+\frac{2}{5}\times \frac{3}{3}$
[Making denominators same]
=$\frac{5}{15}+\frac{6}{15}$
=$\frac{5+6}{11}$
= $\frac{11}{15}$