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Mathematics
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Contemporary Business Mathematics for Colleges
Exam 1: Fractions
Path 4
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Question 21
Short Answer
A concrete walkway will be 18 feet long, 3 2/3 feet wide and 1/3 foot thick. Compute the number of cubic feet of concrete used to make the patio.
Question 22
Short Answer
Add the following fractions and mixed numbers. Write the answers as fractions or mixed numbers in lowest terms. a.
b.
c.
Question 23
Short Answer
A small candy company specializes in handmade chocolates. In one hour, one employee made 7 1/3 pounds of chocolates, another employee made 8 4/5 pounds, and a third employee made 7 1/4 pounds. Compute the total number of pounds the three employees made together.
Question 24
Short Answer
A cook has a recipe for a pasta sauce that calls for 3/4 cup of chopped onions. One recipe makes enough for six servings. Compute the volume of chopped onions that would be required for fifteen servings. (Hint: That means the cook must prepare 15/6 = 2 1/2 recipes.)
Question 25
Short Answer
A homeowner is planning to build a concrete sidewalk that will require 1 3/4 cubic yards of concrete. She also will build a small patio requiring 2 1/3 cubic yards of concrete. The two projects are in the backyard, so the concrete will be carried in a wheelbarrow. The wheelbarrow will comfortably hold 1/6 of cubic yard of concrete. How many wheelbarrow loads will be required for the entire job?
Question 26
Short Answer
Divide the following fractions. Write the answers as fractions or mixed numbers in lowest terms. a.
b.
c.
Question 27
Short Answer
Add the following fractions and mixed numbers. Write the answers as fractions or mixed numbers in lowest terms. a.
b.
c.
Question 28
Short Answer
An electrician bought a 100-foot roll of 12-gauge copper wire, and used 32 7/12 feet for one job and 26 3/4 feet for a second job. How many feet of wire remained on the roll?
Question 29
Short Answer
A farmer planted 3 2/3 acres of oats, 5 3/4 acres of wheat, and 2 5/6 acres of barley. Compute the total number of acres planted.
Question 30
Short Answer
Mr. Steev planned to fence 7 1/2 acres of land to grow a new variety of wheat. After he had finished fencing 3 3/4 acres of the land, it started raining. How many acres of the land remained to be fenced?
Question 31
Short Answer
Change the mixed numbers to improper fractions and divide. Write the answers as fractions or mixed numbers in lowest terms. a.
b.
Question 32
Short Answer
Last week, an organic produce farm delivered 11 3/8 pounds of green leaf lettuce, 13 7/16 pounds of romaine lettuce, and 9 5/6 pounds of red leaf lettuce. What was the total weight of the lettuce delivered?
Question 33
Short Answer
Change the improper fractions to whole or mixed numbers. Reduce fractional parts to lowest terms. a.
b.
c.
Question 34
Short Answer
In the bedroom of a house, there were 1 5/16 inches of space underneath the door before a carpet and pad were installed. After the installation, the space was only 1/7 of the previous space. Find the space under the door after the installation.