Multiplying fractions and mixed numbers Transitional Reasoning Practice

Questions

1. 1.

   An automated irrigation system in a botanical greenhouse dispenses water at a constant rate of $3\frac{3}{4}$ liters per minute. On a typical warm day, the timer activates the system for a morning misting cycle of $2\frac{2}{5}$ minutes and an evening cycle of $1\frac{1}{5}$ minutes. How many liters of water does the irrigation system dispense in total during these two cycles?

   • A) $9\frac{9}{20}$
   • B) $11\frac{1}{5}$
   • C) $12\frac{3}{4}$
   • D) $13\frac{1}{2}$
2. 2.

   An artisan bakery uses $2\frac{1}{4}$ kilograms of stone-ground flour to make one full batch of traditional sourdough loaves. For a weekend catering event, the head baker decides to prepare $3\frac{1}{3}$ batches of this recipe. How many kilograms of stone-ground flour will the bakery need in total for the event?

   • A) $6\frac{1}{12}$ kilograms
   • B) $7\frac{1}{2}$ kilograms
   • C) $5\frac{7}{12}$ kilograms
   • D) $8\frac{1}{4}$ kilograms
3. 3.

   A community garden allocates rectangular plots where each standard plot has a length of $3\frac{1}{2}$ meters and a width of $1\frac{3}{5}$ meters. To plan the placement of soil liner, a gardener needs to determine the exact area covered by one standard plot. What is the total area of this garden plot in square meters?

   • A) $5\frac{3}{5}$
   • B) $3\frac{3}{10}$
   • C) $5\frac{1}{10}$
   • D) $2\frac{3}{16}$

Answers and step-by-step solutions appear after you finish the test.