Grade Level: 5th Skill: Fractions, Percentages and Decimals Topic: Add and Subtract Mixed Numbers Goal: Solve simple problems, including ones arising in concrete situations, involving the addition and subtraction of fractions and mixed numbers (like and unlike denominators of 20 or less), and express answers in the simplest form. Skill Description: This is a very large standard that takes many months to teach. Students typically begin reviewing simplifying fractions, converting mixed numbers to/from improper factions and adding and subtracting fractions with like denominators. They continue learning how to add and subtract fractions and mixed numbers with unlike denominators and are expected to solve all problems in their simplest form

## Building Blocks/Prerequisites

### Sample Problems

 (1) 3/10 + 5/10 (4/5) (2) 1 and 9/12 +5 and 1/12 (6 and 5/6) (3) 6 and 1/3 +2 and 9/10 (9 and 7/30) (4) 5 and 1/6 – 2 and 5/6 (2 and 1/3) (5) 9 and 2/3 – 7 and ¼ (2 and 5/12)

### Online Resources

 (1) (2) (3)

### Extra Help Problems

 (1) 1/3 + 1/3 (2/3) (2) 4/10 + 7/10 (11/10=1 and 1/10) (3) 9/12 – 1/12 (8/12=2/3) (4) 2/5+3/5 (5/5 = 1 whole) (5) 7/10 – 6/10 (1/10) (6) 5/12 – 1/12 (4/12 = 1/3) (7) 1 2/3 + 3 2/3 (4 4/3 = 5 1/3) (8) 7 9/12 + 7 2/12 (14 11/12) (9) 4 1/5 + 3 2/5 (7 3/5) (10) 7 5/6 – 2 2/6 (5 ½) (11) 5 7/12 – 3 5/12 (2 1/6) (12) 2 ¾ - 1 ¼ (1 1/2) (13) ½ + ¾ (1 ¼ ) (14) 2/5 + 4/6 (1 1/15) (15) 1/3 + ¼ (7/12) (16) 5/6 – 2/12 (2/3) (17) 2/3 – 4/6 (0) (18) 7/8 – 1/5 (27/40) (19) 2 3/10 + 1 1/5 (3 ½ ) (20) 6 ¼ + 2 2/3 (8 11/12) (21) 7 ½ + 3 3/5 (11 1/10) (22) 8 1/3 + 8 ½ (16 5/6) (23) 2 ¾ - 1 1/12 (1 2/3) (24) 5 6/10 – 2 4/5 (2 4/5) (25) 7 ½ - 3 2/5 (4 1/10)