Fraction Operations Unit Quiz
Test your understanding of all fraction operations! Work through each problem, then check your answer.
Instructions
Solve each problem on paper first. Then click "Show Answer" to check your work. Keep track of how many you get correct!
Quiz Questions
Question 1: Addition with Unlike Denominators
Show Answer
Answer: 11/15
Step 1: Find LCD of 5 and 3. LCD = 15
Step 2: Convert: 2/5 = 6/15, 1/3 = 5/15
Step 3: Add: 6/15 + 5/15 = 11/15
Question 2: Subtraction with Unlike Denominators
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Answer: 7/12
Step 1: Find LCD of 6 and 4. LCD = 12
Step 2: Convert: 5/6 = 10/12, 1/4 = 3/12
Step 3: Subtract: 10/12 - 3/12 = 7/12
Question 3: Multiplication
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Answer: 3/10
Step 1: Multiply numerators: 3 x 2 = 6
Step 2: Multiply denominators: 4 x 5 = 20
Step 3: Simplify: 6/20 = 3/10
Question 4: Division
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Answer: 4
Step 1: Keep-Change-Flip: 2/3 x 6/1
Step 2: Multiply: 12/3 = 4
Question 5: Mixed Operations
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Answer: 1/2
Step 1: Same denominators, add numerators: 3 + 1 = 4
Step 2: Result: 4/8
Step 3: Simplify: 4/8 = 1/2
Question 6: Word Problem - Addition
Sam walked 3/4 mile to school and 1/2 mile to the library. How far did Sam walk in total?
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Answer: 1 1/4 miles (or 5/4 miles)
Step 1: Find LCD of 4 and 2. LCD = 4
Step 2: Convert: 1/2 = 2/4
Step 3: Add: 3/4 + 2/4 = 5/4 = 1 1/4 miles
Question 7: Word Problem - Multiplication
A recipe calls for 2/3 cup of sugar. If you want to make 1/2 of the recipe, how much sugar do you need?
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Answer: 1/3 cup
Step 1: "1/2 of" means multiply: 1/2 x 2/3
Step 2: Multiply: 2/6 = 1/3 cup
Question 8: Word Problem - Division
You have 3/4 pound of candy to share equally among 3 friends. How much candy does each friend get?
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Answer: 1/4 pound
Step 1: Divide: 3/4 ÷ 3 = 3/4 ÷ 3/1
Step 2: Keep-Change-Flip: 3/4 x 1/3
Step 3: Multiply: 3/12 = 1/4 pound
Question 9: Finding LCD
What is the Least Common Denominator of 4, 6, and 8?
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Answer: 24
Multiples of 4: 4, 8, 12, 16, 20, 24...
Multiples of 6: 6, 12, 18, 24...
Multiples of 8: 8, 16, 24...
The smallest number in all three lists is 24.
Question 10: Complex Problem
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Answer: 5/24
Step 1: Find LCD of 8 and 3. LCD = 24
Step 2: Convert: 7/8 = 21/24, 2/3 = 16/24
Step 3: Subtract: 21/24 - 16/24 = 5/24
Score Your Quiz
How Did You Do?
9-10 correct: Excellent! You have mastered fraction operations!
7-8 correct: Great job! Review any topics you missed.
5-6 correct: Good effort! Consider reviewing the earlier lessons.
Below 5: Keep practicing! Go back through the unit lessons.
Unit Summary
Addition/Subtraction
Find LCD first, then add or subtract only the numerators.
Multiplication
Multiply straight across: tops together, bottoms together.
Division
Keep-Change-Flip: multiply by the reciprocal.
Always Simplify
Reduce answers to lowest terms.
Congratulations!
You have completed the Fraction Operations unit. Continue to the next unit to keep building your math skills!