Students compute a three-fraction expression, identify the correct LCD conversion in a running problem, and spot the error in a step-by-step 2/3 + 4/9 solution. Part B has five fill-in-the-blank problems including a three-addend computation, the LCD of 5, 6, and 10, and a 7/8 − 1/3 computation.
Multi-step fraction expressions and error identification prepare students for the fraction reasoning required in all Grade 5 multi-step word problems and algebraic thinking.
Style:
Adding and Subtracting Fractions with Unlike Denominators
Part A: Multiple Choice
Circle the best answer for each question.
1. What is 56 + 38 − 14 expressed in simplest form?
A) 2324
B) 710
C) 1924
D) 1112
2. Maria ran 34 + 56 mi. Which LCD conversion is correct?
A) 912 + 1012
B) 310 + 510
C) 812 + 1012
D) 68 + 58
3. Which step is WRONG? 23+49 → LCD=9 → 69+49 → 109 → 119
A) LCD=9 is wrong
B) 69 conversion is wrong
C) 109 is wrong
D) No step is wrong
4. To subtract 712 − 29, you use LCD=36. What are the renamed fractions?
A) 2136 and 836
B) 1436 and 636
C) 736 and 236
D) 2836 and 836
Part B: Fill in the Blank
Write the correct answer on each line.
1. 23 + 512 + 14 = 812 + 512 + 312 = 113 in simplest form.
2. The LCD of 5, 6, and 10 is 30.
3. 78 − 13 = 2124 − 824 = 1324 in simplest form.
4. If you add 49 + 23, the sum is 119 as a mixed number.
5. 1115 − 25 = 1115 − 615 = 13 in simplest form.
Adding and Subtracting Fractions with Unlike Denominators
★ Part A: Multiple Choice
Circle the best answer for each question.
1. What is 56 + 38 − 14 expressed in simplest form?
A) 2324
B) 710
C) 1924
D) 1112
2. Maria ran 34 + 56 mi. Which LCD conversion is correct?
A) 912 + 1012
B) 310 + 510
C) 812 + 1012
D) 68 + 58
3. Which step is WRONG? 23+49 → LCD=9 → 69+49 → 109 → 119
A) LCD=9 is wrong
B) 69 conversion is wrong
C) 109 is wrong
D) No step is wrong
4. To subtract 712 − 29, you use LCD=36. What are the renamed fractions?
A) 2136 and 836
B) 1436 and 636
C) 736 and 236
D) 2836 and 836
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) 2/3 + 5/12 + 1/4 = 8/12 + 5/12 + 3/12 = 1 1/3 in simplest form.
2) The LCD of 5, 6, and 10 is 30.
3) 7/8 − 1/3 = 21/24 − 8/24 = 13/24 in simplest form.
4) If you add 4/9 + 2/3, the sum is 1 1/9 as a mixed number.
5) 11/15 − 2/5 = 11/15 − 6/15 = 1/3 in simplest form.
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12-18 minutes
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