Step up to mixed numbers with nine fill-in-the-blanks covering common denominators for fraction parts, finishing 3 2/5 + 1 1/3, knowing when to borrow from a whole number, regrouping 6 1/4 to subtract 2 5/8, computing 2 3/4 + 4 2/3, finding the LCD of 5 and 9, working out 8 1/6 - 3 3/4, carrying when fraction parts exceed 1, and adding 1 5/6 + 2 7/10.
Part B matches four expressions — 5 1/3 + 2 1/4, 7 1/2 - 3 2/5, 4 3/8 + 1 1/6, and 9 1/4 - 5 2/3 — to their answers. Fifth graders master the carry-and-borrow moves that turn mixed-number arithmetic from confusing to automatic.
Style:
Adding and Subtracting Fractions with Unlike Denominators
Part A: Fill in the Blank
Write the missing word or number on each line.
1. To add mixed numbers, first find a common denominator for the fraction parts.
2. 325 + 113 = 3615 + 1515 = 41115.
3. When subtracting mixed numbers, if the fraction you are subtracting is larger, you must borrow from the whole number.
4. 614 − 258 requires regrouping 614 as 5 10 8 .
5. 234 + 423 = 2912 + 4812 = 7512 in simplest form.
6. The LCD of 5 and 9 is 45.
7. 816 − 334 = 8212 − 3912 = 4512.
8. If the fraction parts of two mixed numbers add up to more than 1, carry the extra 1 to the whole number.
9. 156 + 2710 = 12530 + 22130 = 41730 in simplest form.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
513 + 214
→ 7712
51324
712 − 325
→ 4110
3712
438 + 116
→ 51324
4110
914 − 523
→ 3712
7712
Adding and Subtracting Fractions with Unlike Denominators
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) To add mixed numbers, first find a common denominator for the fraction parts.
2) 3 2/5 + 1 1/3 = 3 6/15 + 1 5/15 = 4 11/15.
3) When subtracting mixed numbers, if the fraction you are subtracting is larger, you must borrow from the whole number.
4) 6 1/4 − 2 5/8 requires regrouping 6 1/4 as 5 10/8.
5) 2 3/4 + 4 2/3 = 2 9/12 + 4 8/12 = 7 5/12 in simplest form.
6) The LCD of 5 and 9 is 45.
7) 8 1/6 − 3 3/4 = 8 2/12 − 3 9/12 = 4 5/12.
8) If the fraction parts of two mixed numbers add up to more than 1, carry the extra 1 to the whole number.
9) 1 5/6 + 2 7/10 = 1 25/30 + 2 21/30 = 4 17/30 in simplest form.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
5 1/3 + 2 1/4
→ 7 7/12
5 13/24
7 1/2 − 3 2/5
→ 4 1/10
3 7/12
4 3/8 + 1 1/6
→ 5 13/24
4 1/10
9 1/4 − 5 2/3
→ 3 7/12
7 7/12
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