Multiplying a fraction by a whole number Transitional Reasoning Download PDF

Questions

1. 1.

   A community athletics club tracks the hydration needs of two training groups during practice. Each member of the morning group drinks $\frac{3}{5}$ liter of water, and there are 15 athletes in that group. Each member of the afternoon group drinks $\frac{2}{3}$ liter of water, and there are 18 athletes in that group. How many more liters of water does the afternoon group drink in total than the morning group?

   • A) 9 liters
   • B) 6 liters
   • C) 3 liters
   • D) 21 liters
2. 2.

   An environmental club maintains a 36-meter border garden along a school playground. The students plant native pollinator flowers along $\frac{5}{9}$ of the garden's total length and reserve the remaining section for a composting area. What is the length, in meters, of the section reserved for the composting area?

   • A) 16 meters
   • B) 20 meters
   • C) 4 meters
   • D) 31 meters
3. 3.

   A community bike-repair workshop uses specialized grease to service bicycle wheel bearings. Each bearing overhaul requires exactly $\frac{3}{8}$ of a standard tube of synthetic grease. During a clinic session, volunteer mechanics complete 10 bearing overhauls. What is the total number of tubes of synthetic grease used for these overhauls?

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

   An eco-friendly craft workshop produces beeswax wraps to replace single-use plastic wrap in school lunches. Each wrap requires exactly $\frac{4}{5}$ of a standard block of organic beeswax for proper coating. If the workshop coats a batch of 12 wraps during an afternoon session, how many blocks of beeswax are used in total?

   • A) $8\frac{4}{5}$
   • B) $9\frac{3}{5}$
   • C) $9\frac{4}{5}$
   • D) $12\frac{4}{5}$
5. 5.

   A science club programs a miniature robotic rover to navigate a marked testing course. With each complete turn of its drive axle, the rover moves forward exactly $\frac{5}{6}$ of a meter. If the axle completes 9 full turns during a test run, what is the total distance the rover travels?

   • A) $9\frac{5}{6}$ meters
   • B) $\frac{5}{54}$ meters
   • C) $5\frac{2}{3}$ meters
   • D) $7\frac{1}{2}$ meters