192 Chapter 3 Fractions and Mixed Numbers: Addition and Subtraction To subtract the fractional parts, we need a common denominator. The LCD is 6. 1 6 11 Subtract the whole numbers. Subtract the The difference is . This is close to the estimate of 12. Borrowing is sometimes necessary when subtracting mixed numbers. Subtracting Mixed Numbers with Borrowing Example 6 Subtract. a. b. Solution: a. We cannot subtract from .Therefore, borrow 1 from 17.The borrowed 1 is written as because the common denominator is 7. The difference is . 16 5 7 5 b. To subtract the fractional parts, we need a common denominator.The LCD is 45. The difference is 428 45. 13 14 10 45 45 45 13 55 45 9 27 45 27 45 4 9 28 45 14 2 9 14 2 5 9 5 14 10 45 9 3 5 9 3 9 5 9 9 27 45 547 17 2 7 17 2 7 7 7 16 9 7 11 5 7 11 5 7 11 4 7 77 27 5 7 14 2 9 9 3 5 17 2 7 11 5 7 1112 11 1 2 15 2 3 15 2 2 3 2 15 4 6 4 1 6 4 1 6 4 3 6 We cannot subtract from Therefore, borrow 1 (or equivalently 45) from 14. 45 10 45. 27 45 ⎞ ⎪⎬⎪ ⎠ fractional parts. Skill Practice Subtract. 7. 8. 9 Answers 7. 8. 11 12 15 4 7 2 3 8 3 4 24 2 7 8 5 7
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