Students complete nine sentences about LCD vocabulary, equivalent fractions, and the common denominator requirement for adding and subtracting. The matching activity pairs 1/2 + 1/3, 3/4 − 1/6, 2/5 + 1/4, and 5/6 − 1/2 with their correct simplified answers.
Matching four unlike-denominator problems to their simplified answers requires students to complete the full LCD-convert-operate-simplify process independently for each problem.
Style:
Adding and Subtracting Fractions with Unlike Denominators
Part A: Fill in the Blank
Write the missing word or number on each line.
1. The least common denominator is the smallest number both denominators divide into evenly.
2. Fractions that name the same amount, like 24 and 12, are called equivalent fractions.
3. Before adding 13 + 25, you must find a common denominator.
4. A fraction is in simplest form when the numerator and denominator share no common factor > 1.
5. The LCD of 4 and 6 is 12.
6. To rename 35 with a denominator of 20, multiply numerator and denominator by 4.
7. 16 + 34 = 212 + 912 = 1112 in simplest form.
8. 58 − 13 = 1524 − 824 = 724.
9. When a fraction like 68 can be reduced, divide both parts by their greatest common factor.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
12 + 13
→ 56
712
34 − 16
→ 712
13
25 + 14
→ 1320
56
56 − 12
→ 13
1320
Adding and Subtracting Fractions with Unlike Denominators
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) The least common denominator is the smallest number both denominators divide into evenly.
2) Fractions that name the same amount, like 2/4 and 1/2, are called equivalent fractions.
3) Before adding 1/3 + 2/5, you must find a common denominator.
4) A fraction is in simplest form when the numerator and denominator share no common factor > 1.
5) The LCD of 4 and 6 is 12.
6) To rename 3/5 with a denominator of 20, multiply numerator and denominator by 4.
7) 1/6 + 3/4 = 2/12 + 9/12 = 11/12 in simplest form.
8) 5/8 − 1/3 = 15/24 − 8/24 = 7/24.
9) When a fraction like 6/8 can be reduced, divide both parts by their greatest common factor.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
1/2 + 1/3
→ 5/6
7/12
3/4 − 1/6
→ 7/12
1/3
2/5 + 1/4
→ 13/20
5/6
5/6 − 1/2
→ 1/3
13/20
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10 Questions
10-15 minutes
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