Exam 1: Fractions

​A hobbyist makes jewelry for friends and relatives. Last week the hobbyist used 3/4 ounce of gold and 2 1/6 ounces of silver. Compute the number of ounces that she used during last week.

Multiply the following fractions and whole numbers. Reduce products to lowest terms. ​ a. b. c.

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

Change the mixed numbers to improper fractions. ​​ a.​ b. c.

​A hiking club planned to hike to a waterfall which was 8 3/10 miles away. When the hikers stopped for a rest, they had walked 5 1/2 miles. How far were they from the waterfall?

A renter wanted to paint a small wall in her apartment. She bought a can paint that was supposed to cover 110 square feet. The height of the wall was 8 1/3 feet high. What length of wall could she paint with this one can of paint?​

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

Multiply the following fractions and whole numbers. Reduce products to lowest terms. ​ a. b. c.

​Multiply the following fractions. Reduce products to lowest terms. ​ a. b. c. ​ ​

A painter mixing paint for a client starts with 6 1/2 quarts of white base paint. To each quart, the painter must add 2 2/3 ounces of tint. How many ounces of tint are required for this project?​

A school cafeteria prepares soup in five-gallon stock pots. Because of waste, the cooks only get 3 3/4 gallons of soups from one pot. If one large serving measures about 1 1/3 cups, how many large servings can they get out of one pot? (One gallon = 4 quarts = 16 cups.)​

A lawn mower manufacturer claims that one of its new gas-powered lawn mowers will run for 2 hours and 40 minutes on 1 quart of gasoline. If the claim is true, how long should this lawn mower run on 3 1/2 quarts of gasoline? [40 minutes is 2/3 of an hour.]​

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

A small herb garden is 5 1/4 feet by 5 1/3 feet. If there are 9 square feet in 1 square yard, compute the number of square yards that are in the herb garden.​

Change each fraction to higher terms, with the denominator shown.​ ​ a. b. c.

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

A person prepares a rusty metal fence for painting, completing 4 1/2 feet of fence per hour. When there are 2 hours and 20 minutes left to work in the day, how many feet can be prepared during the remainder of the day? (Hint: 20 minutes is 1/3 hour.)​

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

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

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