Multiplying a fraction by a whole number Transitional Reasoning Practice

Questions

1. 1.

   A wildlife monitoring project uses a sequence of 14 fully charged batteries to keep a research sensor running continuously without interruption. Each battery powers the sensor for exactly $\frac{3}{4}$ of a day. The field team needs the sensor to operate for a total target duration of 12 days using only these 14 batteries. By how much does the total operating time of the 14 batteries exceed or fall short of the 12-day target?

   • A) It falls short of the target by $1\frac{1}{2}$ days.
   • B) It exceeds the target by $1\frac{1}{2}$ days.
   • C) It falls short of the target by $2\frac{1}{2}$ days.
   • D) It exceeds the target by $2\frac{1}{2}$ days.
2. 2.

   An agricultural technician connects 9 identical irrigation pipes end-to-end to supply water across a field. Each pipe measures $\frac{7}{10}$ of a meter in length. At each joint between two adjacent pipes, the ends overlap by $\frac{1}{20}$ of a meter to form a watertight seal. What is the total end-to-end length of the connected pipe line?

   • A) $5\frac{9}{10}$ meters
   • B) $6\frac{3}{10}$ meters
   • C) $5\frac{17}{20}$ meters
   • D) $6\frac{7}{10}$ meters
3. 3.

   A textile artist weaves decorative wall panels, and each panel requires $\frac{7}{12}$ of a spool of metallic thread. The artist receives a custom order to weave 16 of these identical panels. If the metallic thread is sold only in whole, individual spools, what is the minimum number of spools the artist must purchase to complete the order?

   • A) 8 spools
   • B) 9 spools
   • C) 10 spools
   • D) 12 spools
4. 4.

   A community landscaping crew plants two sections of a park with flowering groundcover. In Section A, the crew prepares 14 garden beds, each requiring $\frac{3}{8}$ of a cubic yard of mulch. In Section B, the crew prepares 10 garden beds, each requiring $\frac{5}{8}$ of a cubic yard of mulch. How many total cubic yards of mulch did the crew use for both sections combined?

   • A) $11\frac{1}{2}$ cubic yards
   • B) $5\frac{3}{4}$ cubic yards
   • C) $1\frac{1}{4}$ cubic yards
   • D) 24 cubic yards

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