Exam 1: Fractions

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.​

Add the following fractions and mixed numbers. Write the answers as fractions or mixed numbers in lowest terms.​ ​ a. b. c.

​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.

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.)​

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?​

Divide the following fractions. Write the answers as fractions or mixed numbers in lowest terms.​ ​ a. b. c.

Add the following fractions and mixed numbers. Write the answers as fractions or mixed numbers in lowest terms. ​ a. b. c.

​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?

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.​

​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?

Change the mixed numbers to improper fractions and divide. Write the answers as fractions or mixed numbers in lowest terms.​ ​ a. b. ​ ​

​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?

Change the improper fractions to whole or mixed numbers. Reduce fractional parts to lowest terms.​ ​ a. b. c.

​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.

​For her semester project, an art student was required to complete an oil painting that was at least 5 square feet in area. If the student wanted to make a painting that was 3 3/4 feet wide, what is the minimum height that it could be?

A house painter uses about 2 1/2 quarts of paint per hour on a specific type of wooden exterior trim. For an 8-hour day, the painter's preparation work is 3/4 of an hour, with 1/2 hour for cleanup. If the person paints the remainder of the 8 hours, compute the number of quarts of paint that will be used.​

Divide the following fractions. Write the answers as fractions or mixed numbers in lowest terms. ​ a. b. c.

​A car manufacturer claims that one of its new models will travel 32 miles on one gallon of gasoline. If the claim is true, how far should it travel on 3 3/4 gallons of gasoline?

A small vegetable garden is 7 1/2 feet by 7 1/5 feet. If there are 8 square feet in 1 square yard, compute the number of square yards that are in the vegetable garden.​

​Linda wanted to paint a small wall in her apartment. She bought a can paint that was supposed to cover 120 square feet. The height of the wall was 9 1/3 feet high. What length of wall could she paint with this one can of paint?