Fourth graders start by fixing three classic fraction slip-ups — 1/4 + 2/4 written as 3/8, 7/10 - 4/10 landing on 3/0, and 3/9 + 5/9 turning into 8/18 — explaining in each correction why the denominator does not budge. Part B asks for the sums and differences of like fractions such as 2/6 + 3/6, 9/12 - 5/12, and 6/7 - 2/7.
Part C closes with two short-answer prompts: figuring out that 4/8 + 4/8 equals 8/8 or one whole, and walking through 7/10 - 3/10 step by step. Catching denominator mistakes while computing builds the conceptual understanding fraction work demands.
Style:
Adding & Subtracting Fractions
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
14 + 24 = 38.
Rewrite: 14 + 24 = 34 because you add only the numerators and the denominator stays 4.
2. Fix the sentence:
710 − 410 = 30.
Rewrite: 710 − 410 = 310 because you subtract the numerators and keep the denominator 10.
3. Fix the sentence:
39 + 59 = 818.
Rewrite: 39 + 59 = 89 because both fractions share the denominator 9, so it does not change.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. 26 + 36 = 56.
2. 912 − 512 = 412.
3. 48 + 38 = 78.
4. 67 − 27 = 47.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. If you solve 48 + 48, what is the answer and can it be simplified?
48 + 48 = 88, which equals 1 whole. Since the numerator and denominator are the same, the fraction simplifies to 1.
2. Explain how to solve 710 − 310 step by step.
Subtract the numerators: 7 − 3 = 4. Keep the denominator 10. The answer is 410, which can be simplified to 25.
Adding & Subtracting Fractions
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
1/4 + 2/4 = 3/8.
Rewrite: 1/4 + 2/4 = 3/4 because you add only the numerators and the denominator stays 4.
2) Fix the sentence:
7/10 − 4/10 = 3/0.
Rewrite: 7/10 − 4/10 = 3/10 because you subtract the numerators and keep the denominator 10.
3) Fix the sentence:
3/9 + 5/9 = 8/18.
Rewrite: 3/9 + 5/9 = 8/9 because both fractions share the denominator 9, so it does not change.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) 2/6 + 3/6 = 5/6.
2) 9/12 − 5/12 = 4/12.
3) 4/8 + 3/8 = 7/8.
4) 6/7 − 2/7 = 4/7.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) If you solve 4/8 + 4/8, what is the answer and can it be simplified?
4/8 + 4/8 = 8/8, which equals 1 whole. Since the numerator and denominator are the same, the fraction simplifies to 1.
2) Explain how to solve 7/10 − 3/10 step by step.
Subtract the numerators: 7 − 3 = 4. Keep the denominator 10. The answer is 4/10, which can be simplified to 2/5.
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