3 Chapter Chapter 2 Fractions and Mixed Numbers.

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Presentation transcript:

3 Chapter Chapter 2 Fractions and Mixed Numbers

Adding and Subtracting Unlike Fractions Section 3.5 Adding and Subtracting Unlike Fractions

Add or Subtract Unlike Fractions. Objective A Add or Subtract Unlike Fractions.

Adding Unlike Fractions Adding or Subtracting Unlike Fractions Step 1: Find the least common denominator (LCD) of the fractions. Step 2: Write each fraction as an equivalent fraction whose denominator is the LCD. Step 3: Add or subtract the like fractions. Step 4: Write the sum or difference in simplest form. Objective A

Example Add: Step 1: The LCD of the denominators is 15. Step 2: Step 4: The answer is in simplest form. Objective A Continued

Example Add: The LCD of the denominators is 24. Objective A Continued

Example Add:

Example Subtract: The LCD of the denominators is 33. Objective A Continued

Example Subtract: The LCD of the denominators 3 and 11 is 33.

Example Find: The LCD of the denominators 8, 3 and 12 is 24.

Write Fractions in Order. Objective B Write Fractions in Order.

Comparing Fractions Insert > or < to form a true sentence. Objective A

Comparing Fractions Insert > or < to form a true sentence. Objective A

Evaluate Expressions Given Fractional Replacement Values. Objective C Evaluate Expressions Given Fractional Replacement Values.

Evaluating Fractions Evaluate x + y for x = and y = Replace x with and y with in x + y. Objective B

Solve Problems by Adding or Subtracting Unlike Fractions. Objective D Solve Problems by Adding or Subtracting Unlike Fractions.

Example A freight truck has 1/4 ton of computers, 1/3 ton of televisions, and 3/8 ton of small appliances. Find the total weight of its load. To find the total weight, add the weights of the individual items. Objective A Continued