Solve Fraction Multiplication Problems Practice Test

A full bottle holds 1 whole gallon (the same-sized whole). A gardener mixes $\tfrac{2}{3}$ gallon of water with fertilizer. The fertilizer amount is $\tfrac{3}{10}$ of the water amount. Since fraction multiplication represents taking part of a quantity, what is the correct answer to the problem: How many gallons of fertilizer does the gardener use?

A 1-liter bottle is the same-sized whole. A science group fills the bottle to $\tfrac{4}{5}$ liter. Then they pour out $\tfrac{1}{2}$ of the amount that is in the bottle. Since fraction multiplication represents taking part of a quantity, what is the correct answer to the problem: How many liters do they pour out?