Multiplying Fractions by Whole Numbers — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A pitcher uses 2/3 cup lemon juice. Which equation finds 6 pitchers?
A) 6 + 2/3 = j
B) 6 x 2/3 = j
C) 6 / 2/3 = j
D) 2/3 - 6 = j
Multiplying servings by the per-serving amount gives 6 x 2/3 = 12/3 = 4 cups.
2. Each wall needs 3/4 gallon paint. Which equation finds 5 walls?
A) 5 + 3/4 = p
B) 5 x 3/4 = p
C) 3/4 - 5 = p
D) 3/4 / 5 = p
5 x 3/4 = 15/4 = 3 3/4 gallons of paint for the five walls.
3. Each batch needs 5/8 cup sugar. Which equation models 4 batches?
A) 5/8 - 4 = s
B) 4 / 5/8 = s
C) 4 x 5/8 = s
D) 4 + 5/8 = s
4 x 5/8 = 20/8 = 2 4/8, which simplifies to 2 1/2 cups of sugar.
4. A poster uses 1/3 sheet of paper. Which equation finds 9 posters?
A) 9 + 1/3 = s
B) 1/3 - 9 = s
C) 9 / 1/3 = s
D) 9 x 1/3 = s
9 x 1/3 = 9/3 = 3 sheets of paper are needed for nine posters.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Lemonade: 6 pitchers x 2/3 cup juice = 4 cups of lemon juice.
Twelve thirds equal 4 whole cups of lemon juice for six pitchers.
2. Painting: 5 walls x 3/4 gallon = 15/4 gallons of paint needed.
Fifteen fourths equal 3 3/4 gallons, the paint for five walls.
3. Baking 4 batches x 5/8 cup sugar uses 20/8 cups of sugar total.
Twenty eighths equal 2 4/8, which simplifies to 2 1/2 cups.
4. Posters: 9 posters x 1/3 sheet = 3 whole sheets of paper.
Nine thirds equal 3 whole sheets, since 3/3 makes one whole.
5. Trail mix: 7 bags x 2/5 cup nuts = 14/5 cups of nuts in all.
Fourteen fifths equal 2 4/5 cups of nuts across the seven bags.