This easy-level worksheet has students fix sentence errors, fill in blanks, and write short answers to practice adding and subtracting fractions with unlike denominators skills.
It includes 9 questions across 3 sections for focused practice.
Style:
Adding and Subtracting Fractions with Unlike Denominators
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
49 + 16 = 818 + 318 = 1118, and 1118 simplifies to 12.
Rewrite: 49 + 16 = 818 + 318 = 1118, and 1118 is already in simplest form.
2. Fix the sentence:
To subtract 58 − 16, you can use any denominator, so 516 − 116 = 416.
Rewrite: To subtract 58 − 16, use the LCD of 24 to get 1524 − 424 = 1124.
3. Fix the sentence:
The sum 13 + 29 = 39 + 29 = 59, and this equals 12 in simplest form.
Rewrite: The sum 13 + 29 = 39 + 29 = 59, and 59 is already in simplest form.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. The LCD of 15 and 17 is 35.
2. 310 + 14 = 620 + 520 = 1120.
3. To add 16 + 38, rewrite 16 as 4 24 .
4. 56 − 34 = 1012 − 912 = 112 in simplest form.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. How can you tell whether a fraction answer needs to be simplified?
Check if the numerator and denominator share a common factor greater than 1. If they do, divide both by that factor.
2. What is 710 − 215? Show your work and simplify if possible.
The LCD is 30. Rewrite as 2130 − 430 = 1730. The answer is 1730.
Adding and Subtracting Fractions with Unlike Denominators
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
4/9 + 1/6 = 8/18 + 3/18 = 11/18, and 11/18 simplifies to 1/2.
Rewrite: 4/9 + 1/6 = 8/18 + 3/18 = 11/18, and 11/18 is already in simplest form.
2) Fix the sentence:
To subtract 5/8 − 1/6, you can use any denominator, so 5/16 − 1/16 = 4/16.
Rewrite: To subtract 5/8 − 1/6, use the LCD of 24 to get 15/24 − 4/24 = 11/24.
3) Fix the sentence:
The sum 1/3 + 2/9 = 3/9 + 2/9 = 5/9, and this equals 1/2 in simplest form.
Rewrite: The sum 1/3 + 2/9 = 3/9 + 2/9 = 5/9, and 5/9 is already in simplest form.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) The LCD of 1/5 and 1/7 is 35.
2) 3/10 + 1/4 = 6/20 + 5/20 = 11/20.
3) To add 1/6 + 3/8, rewrite 1/6 as 4/24.
4) 5/6 − 3/4 = 10/12 − 9/12 = 1/12 in simplest form.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) How can you tell whether a fraction answer needs to be simplified?
Check if the numerator and denominator share a common factor greater than 1. If they do, divide both by that factor.
2) What is 7/10 − 2/15? Show your work and simplify if possible.
The LCD is 30. Rewrite as 21/30 − 4/30 = 17/30. The answer is 17/30.
Ready to Practice?
Complete each section carefully.
9 Questions
15-20 minutes
Auto-graded
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