1. Example 3 Using Mixed Numbers in Real Life A corn snake that is inches long grows to a length of inches. How much does it grow? BIOLOGY 4 3 14 4 1 27 4 1 4 3 14 = – 4 5 26 4 3 14 – Rename so its fraction part is greater than 4 1 27 4 3 SOLUTION To find the amount of growth, subtract the original length from the current length. 26 4 5 14+ 4 3 =+ – Write mixed numbers in expanded form.

2. Example 3 Using Mixed Numbers in Real Life Distributive property 26 4 5 14 4 3 =+ –– Commutative property 26 4 3 =+ 4 5 14 – () Subtract integers and fractions. 12 =+ 4 2 Write as a mixed number and simplify. 12 = 4 2 = 2 1 ANSWER The snake grows inches. 2 1 12

3. Example 4 Evaluating Longer Expressions a. 11 2 – 5 + 9 = 259 – + Write over common denominator. 259 – + = 11 6 Evaluate numerator from left to right. 7 6 3 b. –+= 324 – + Commutative property 7 3 2 7 5 4 () + 7 6 – 7 3 7 5 + = 7 8 5 Evaluate inside parentheses. = 7 1 6 Rename.

4. Guided Practice 3. GARDENING for Examples 3 and 4 8 3 8 A plant that is inches high grows to a height of inches. Find the amount of growth. 8 7 5 ANSWER 2 1 2 Evaluate. Then simplify if possible. 4. 4 3 4 7 4 5 ++ ANSWER 4 3 3 8 3 1 5. 8 15 8 7 8 3 + –

5. Guided Practice for Examples 3 and 4 Evaluate. Then simplify if possible. 6. 3 1 3 2 3 2 + ANSWER 3 1 5 – 23