OBJECTIVES 1. DEFINE and GIVE EXAMPLES of: proper fractions improper fractions mixed numbers. 2. CONVERT between proper fractions, improper fractions and mixed numbers. 3. SOLVE mathematical problems involving fractions by: reducing the fraction solving for the Lowest Common Denominator changing the form of the fraction 4. Without a calculator; ADD, SUBTRACT, MULTIPLY and DIVIDE fractions (proper fractions, improper fractions, and mixed numbers). 5. With an approved calculator; ADD, SUBTRACT, MULTIPLY and DIVIDE fractions (proper fractions, improper fractions, and mixed numbers).
EXAMPLE Ex 2-1
EXAMPLE Ex 2-2
EXAMPLE Ex 2-3
EXAMPLE 2/7 + 3/7 Fig 2-1
EXAMPLE Ex 2-4
EXAMPLE 3/4 Fig 2-2
EXAMPLE 6/8 Fig 2-3
EXAMPLE Ex 2-5
EXAMPLE Ex 2-6
EXAMPLE Ex 2-7
EXAMPLE Ex 2-8
EXAMPLE Ex 2-9
EXAMPLE Ex 2-10
EXAMPLE Step 3. Multiply together all of the factors of the Least Common Denominator (LCD). The LCD is equal to 2 × 2 × 3 = 12 Step 4. For each denominator to be added or subtracted determine which factor(s) the denominator must be multiplied by to reach the LCD. Ex 2-10
EXAMPLE Ex 2-10
EXAMPLE Ex 2-10
EXAMPLE Ex 2-11
EXAMPLE Ex 2-11
EXAMPLE Ex 2-11
EXAMPLE Ex 2-11
EXAMPLE Ex 2-12
EXAMPLE Step 2. Determine the Least Common Denominator (LCD) by determining how many times each factor must be used. Ex 2-12
EXAMPLE Ex 2-12
EXAMPLE Ex 2-12
EXAMPLE Ex 2-12
EXAMPLE Ex 2-12
EXAMPLE Ex 2-13
EXAMPLE Ex 2-13
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EXAMPLE Ex 2-14
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EXAMPLE 1/2 1/3 Fig 2-4
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EXAMPLE Ex 2-27
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EXAMPLE Ex 2-30
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EXAMPLE Ex 2-37
EXAMPLE Ex 2-38