Students complete nine sentences about mixed numbers, adding fractional parts before whole numbers, and improper fractions. The matching activity pairs four mixed-number addition and subtraction problems — including 1 1/2 + 2 1/3 and 5 1/3 − 2 3/4 — with their correct answers.
Mixed number operations extend the unlike-denominator skill to the format students encounter most often in real-life measurement and multi-step problems.
Style:
Adding and Subtracting Fractions with Unlike Denominators
Part A: Fill in the Blank
Write the missing word or number on each line.
1. A number made up of a whole number and a fraction, like 214, is called a mixed number.
2. To add mixed numbers, first add the fraction parts, then add the whole numbers.
3. An improper fraction has a numerator greater than or equal to its denominator, like 73.
4. 310 + 45 = 310 + 810 = 1110 as a mixed number.
5. To convert 114 to a mixed number, divide 11 by 4 to get 234.
6. When subtracting mixed numbers, you may need to regroup from the whole number part.
7. 213 + 114 = 2412 + 1312 = 3712.
8. 512 − 223 requires regrouping because 12 is less than 23.
9. The sum 78 + 58 = 128, which simplifies to the mixed number 112.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
112 + 213
→ 356
2712
434 − 116
→ 3712
3910
225 + 112
→ 3910
356
513 − 234
→ 2712
3712
Adding and Subtracting Fractions with Unlike Denominators
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) A number made up of a whole number and a fraction, like 2 1/4, is called a mixed number.
2) To add mixed numbers, first add the fraction parts, then add the whole numbers.
3) An improper fraction has a numerator greater than or equal to its denominator, like 7/3.
4) 3/10 + 4/5 = 3/10 + 8/10 = 1 1/10 as a mixed number.
5) To convert 11/4 to a mixed number, divide 11 by 4 to get 2 3/4.
6) When subtracting mixed numbers, you may need to regroup from the whole number part.
7) 2 1/3 + 1 1/4 = 2 4/12 + 1 3/12 = 3 7/12.
8) 5 1/2 − 2 2/3 requires regrouping because 1/2 is less than 2/3.
9) The sum 7/8 + 5/8 = 12/8, which simplifies to the mixed number 1 1/2.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
1 1/2 + 2 1/3
→ 3 5/6
2 7/12
4 3/4 − 1 1/6
→ 3 7/12
3 9/10
2 2/5 + 1 1/2
→ 3 9/10
3 5/6
5 1/3 − 2 3/4
→ 2 7/12
3 7/12
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10 Questions
10-15 minutes
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