Tackle mixed numbers head-on with multiple-choice problems like 3 2/3 + 2 5/8 (six and seven-twenty-fourths), spotting why a student's regrouping of 4 1/5 - 1 3/4 went wrong, computing 7/9 + 5/12 as a mixed number, and choosing the right LCD and regrouped form for 6 1/6 - 4 7/10. Each option is designed to catch a real fifth-grade slip.
Five fill-in-the-blanks finish 5 1/4 + 3 2/3, work through 9 1/3 - 4 5/6 with regrouping, find the LCD of 4, 5, and 10, combine three fractions in 3/4 + 2/5 - 1/10, and subtract 10 1/8 - 6 3/5. Students leave fluent in the regrouping move that unlocks every mixed-number subtraction.
Style:
Adding and Subtracting Fractions with Unlike Denominators
Part A: Multiple Choice
Circle the best answer for each question.
1. What is 323 + 258 expressed as a mixed number in simplest form?
A) 6724
B) 53124
C) 5711
D) 613
2. A student wrote: 415 − 134 = 3420 − 11520 = 2920. Which part has an error?
A) The LCD should be 9, not 20
B) 420 should be regrouped as 2420 before subtracting
C) 1520 is the wrong conversion for 34
D) No step has an error
3. What is 79 + 512 expressed in simplest form?
A) 4336
B) 1736
C) 1221
D) 43
4. To find 616 − 4710, what is the LCD and the regrouped form of 616?
A) LCD = 30, regroup as 53530
B) LCD = 60, regroup as 57060
C) LCD = 30, regroup as 6530
D) LCD = 16, regroup as 51716
Part B: Fill in the Blank
Write the correct answer on each line.
1. 514 + 323 = 5312 + 3812 = 81112 in simplest form.
2. 913 − 456 = 886 − 456 = 412 in simplest form.
3. The LCD of 4, 5, and 10 is 20.
4. 34 + 25 − 110 = 1520 + 820 − 220 = 1120 as a mixed number.
5. 1018 − 635 = 10540 − 62440 = 32140 in simplest form.
Adding and Subtracting Fractions with Unlike Denominators
★ Part A: Multiple Choice
Circle the best answer for each question.
1. What is 323 + 258 expressed as a mixed number in simplest form?
A) 6724
B) 53124
C) 5711
D) 613
2. A student wrote: 415 − 134 = 3420 − 11520 = 2920. Which part has an error?
A) The LCD should be 9, not 20
B) 420 should be regrouped as 2420 before subtracting
C) 1520 is the wrong conversion for 34
D) No step has an error
3. What is 79 + 512 expressed in simplest form?
A) 4336
B) 1736
C) 1221
D) 43
4. To find 616 − 4710, what is the LCD and the regrouped form of 616?
A) LCD = 30, regroup as 53530
B) LCD = 60, regroup as 57060
C) LCD = 30, regroup as 6530
D) LCD = 16, regroup as 51716
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) 5 1/4 + 3 2/3 = 5 3/12 + 3 8/12 = 8 11/12 in simplest form.
2) 9 1/3 − 4 5/6 = 8 8/6 − 4 5/6 = 4 1/2 in simplest form.
3) The LCD of 4, 5, and 10 is 20.
4) 3/4 + 2/5 − 1/10 = 15/20 + 8/20 − 2/20 = 1 1/20 as a mixed number.
5) 10 1/8 − 6 3/5 = 10 5/40 − 6 24/40 = 3 21/40 in simplest form.
Ready to Practice?
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9 Questions
12-18 minutes
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