Multiplying fractions and mixed numbers Transitional Reasoning Download PDF

Questions

1. 1.

   A greenhouse technician prepares an organic liquid fertilizer for seedling propagation. Each standard nursery tray requires $1\frac{3}{5}$ liters of the fertilizer mixture. A specialized growth bed requires $2\frac{1}{4}$ times as much fertilizer as a standard nursery tray. How many liters of liquid fertilizer are needed in total to supply $2\frac{1}{3}$ specialized growth beds?

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

   An environmental inspection drone consumes $3\frac{1}{8}$ watt-hours of battery energy for every kilometer it travels under calm weather conditions. When operating against strong headwinds, its energy consumption per kilometer increases to $1\frac{3}{5}$ times this calm-weather rate. If the drone flies continuously for a distance of $2\frac{3}{4}$ kilometers directly against a headwind during a survey, how many watt-hours of battery energy does it consume in total?

   • A) $13\frac{3}{4}$
   • B) $8\frac{19}{32}$
   • C) $11\frac{1}{4}$
   • D) $15\frac{5}{8}$