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2 3/4 + 1 5/8 10. 1 3/5 + 1 1/2 11. 2 3/4 + 2 2/5 12. Estimate the quotient. Then calculate the quotient by...

9. 2 3/4 + 1 5/8
10. 1 3/5 + 1 1/2
11. 2 3/4 + 2 2/5
12. Estimate the quotient. Then calculate the quotient by using the standard algorithm. Express the quotient as a mixed number. 7,226 ÷ 23

Answer

  1. 2 3/4 + 1 5/8: Convert to improper fractions: 2 3/4 = 11/4, 1 5/8 = 13/8. Find a common denominator (8): 11/4 = 22/8. Add: 22/8 + 13/8 = 35/8 = 4 3/8.

  2. 1 3/5 + 1 1/2: Convert to improper fractions: 1 3/5 = 8/5, 1 1/2 = 3/2. Find a common denominator (10): 8/5 = 16/10, 3/2 = 15/10. Add: 16/10 + 15/10 = 31/10 = 3 1/10.

  3. 2 3/4 + 2 2/5: Convert to improper fractions: 2 3/4 = 11/4, 2 2/5 = 12/5. Find a common denominator (20): 11/4 = 55/20, 12/5 = 48/20. Add: 55/20 + 48/20 = 103/20 = 5 3/20.

  4. 7,226 ÷ 23: Estimate: 7,000 ÷ 20 = 350. Calculate: 7,226 ÷ 23 = 314 remainder 4. As a mixed number: 314 4/23.

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