Students fix three more fraction errors — 3/8 + 4/8 as 7/16, a zero denominator in subtraction, and 2/3 + 1/3 equaling 3/6 instead of one whole. Part B has three fill-in-the-blank computations. Part C has two short-answer questions about simplifying 4/5 + 1/5 to a whole number and explaining why a zero denominator is wrong.
Recognizing when a fraction sum equals one whole is a key conceptual milestone this sheet reinforces.
Style:
Adding & Subtracting Fractions
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
38 + 48 = 716.
Rewrite: 38 + 48 = 78 because the denominator stays 8 when adding like fractions.
2. Fix the sentence:
912 − 512 = 40.
Rewrite: 912 − 512 = 412 because you subtract the numerators and keep the denominator 12.
3. Fix the sentence:
23 + 13 = 36.
Rewrite: 23 + 13 = 33, which equals 1 whole.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. 512 + 312 = 812.
2. 810 − 510 = 310.
3. 16 + 46 = 56.
4. 78 − 38 = 48.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. If you add 45 + 15, what do you get and can you simplify it?
45 + 15 = 55, which equals 1 whole. Since the numerator equals the denominator, the fraction simplifies to 1.
2. Explain why 69 − 29 = 49 and not 40.
You only subtract the numerators: 6 − 2 = 4. The denominator 9 stays the same because the size of each piece does not change.
Adding & Subtracting Fractions
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
3/8 + 4/8 = 7/16.
Rewrite: 3/8 + 4/8 = 7/8 because the denominator stays 8 when adding like fractions.
2) Fix the sentence:
9/12 − 5/12 = 4/0.
Rewrite: 9/12 − 5/12 = 4/12 because you subtract the numerators and keep the denominator 12.
3) Fix the sentence:
2/3 + 1/3 = 3/6.
Rewrite: 2/3 + 1/3 = 3/3, which equals 1 whole.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) 5/12 + 3/12 = 8/12.
2) 8/10 − 5/10 = 3/10.
3) 1/6 + 4/6 = 5/6.
4) 7/8 − 3/8 = 4/8.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) If you add 4/5 + 1/5, what do you get and can you simplify it?
4/5 + 1/5 = 5/5, which equals 1 whole. Since the numerator equals the denominator, the fraction simplifies to 1.
2) Explain why 6/9 − 2/9 = 4/9 and not 4/0.
You only subtract the numerators: 6 − 2 = 4. The denominator 9 stays the same because the size of each piece does not change.
Ready to Practice?
Complete each section carefully.
9 Questions
15-20 minutes
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