Students correct three like-denominator fraction errors — 2/5 + 1/5 computed as 3/10, 5/8 − 2/8 producing a zero denominator, and 4/6 + 1/6 yielding 5/12. Part B has four fill-in-the-blank computations including 3/7 + 2/7, 6/9 − 4/9, and 1/4 + 2/4. Part C has two short-answer questions about why the denominator stays the same and a step-by-step explanation of 5/6 − 2/6.
Correcting denominator errors alongside solving problems builds the conceptual understanding fraction computation requires.
Style:
Adding & Subtracting Fractions
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
25 + 15 = 310.
Rewrite: 25 + 15 = 35 because you add only the numerators and keep the denominator.
2. Fix the sentence:
58 − 28 = 30.
Rewrite: 58 − 28 = 38 because you subtract the numerators and keep the denominator.
3. Fix the sentence:
46 + 16 = 512.
Rewrite: 46 + 16 = 56 because the denominator stays the same when adding like fractions.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. 37 + 27 = 57.
2. 69 − 49 = 29.
3. 14 + 24 = 34.
4. 710 − 310 = 410.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Why does the denominator stay the same when you add 25 + 15?
The denominator tells the size of each piece. Since both fractions are fifths, you are adding pieces of the same size, so the denominator remains 5.
2. Show how to solve 56 − 26 and explain each step.
Subtract the numerators: 5 − 2 = 3. Keep the denominator 6. The answer is 36, which simplifies to 12.
Adding & Subtracting Fractions
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
2/5 + 1/5 = 3/10.
Rewrite: 2/5 + 1/5 = 3/5 because you add only the numerators and keep the denominator.
2) Fix the sentence:
5/8 − 2/8 = 3/0.
Rewrite: 5/8 − 2/8 = 3/8 because you subtract the numerators and keep the denominator.
3) Fix the sentence:
4/6 + 1/6 = 5/12.
Rewrite: 4/6 + 1/6 = 5/6 because the denominator stays the same when adding like fractions.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) 3/7 + 2/7 = 5/7.
2) 6/9 − 4/9 = 2/9.
3) 1/4 + 2/4 = 3/4.
4) 7/10 − 3/10 = 4/10.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Why does the denominator stay the same when you add 2/5 + 1/5?
The denominator tells the size of each piece. Since both fractions are fifths, you are adding pieces of the same size, so the denominator remains 5.
2) Show how to solve 5/6 − 2/6 and explain each step.
Subtract the numerators: 5 − 2 = 3. Keep the denominator 6. The answer is 3/6, which simplifies to 1/2.
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9 Questions
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