UNIT 2: FRACTIONS

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UNIT 2 FRACTIONS

• A fraction is a value that shows the number of
  equal parts taken of a whole quantity or unit
• Fractions can be expressed in lowest terms by
  dividing both the numerator and denominator by
  their greatest common factor
• To reduce to lowest terms, divide by

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MIXED NUMBERS AS FRACTIONS

• A mixed number is a whole number plus a fraction
• To express a mixed number as a fraction
• Find number of fractional parts contained in the
  whole number
• Add the fractional part

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FRACTIONS AS MIXED NUMBERS

• To convert fractions into mixed numbers, divide
  and place the remainder over the denominator

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ADDITION OF FRACTIONS

• Requires a common denominator
• Least common denominator is smallest number that
  all denominators divide into evenly
• First, determine the LCD
• 6 2 3 3 1 3 15 3 5
• LCD 2 3 5 30

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ADDITION OF FRACTIONS

• Next, convert every fraction to 30ths
• Finally, add the fractions

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SUBTRACTION OF FRACTIONS

• Subtraction of fractions also requires a common
  denominator.
• First, determine the LCD
• 16 2 2 2 2
• 8 2 2 2
• LCD 2 2 2 2 16

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SUBTRACTION OF FRACTIONS

• Next, convert 3/8 to 16ths
• Finally, subtract the fractions

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MULTIPLICATION OF FRACTIONS

• Multiplication and division of fractions do not
  require a common denominator
• To multiply fractions, just multiply the
  numerators and the denominators

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MULTIPLICATION OF FRACTIONS

• Mixed numbers must be
  changed into fractions
  before you can multiply

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DIVISION OF FRACTIONS

• To divide fractions, invert the divisor, change
  to the inverse operation, and multiply.

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DIVISION OF FRACTIONS

• First, change
• Next, divide

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ORDER OF OPERATIONS

• As with any arithmetic expression, the order of
  operations must be followed. They are
• Parentheses
• Multiplication and division from left to right
• Addition and subtraction from left to right

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ORDER OF OPERATIONS

• First, add

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PRACTICE PROBLEMS

• 1. Reduce each of the following
• a. b. c.
• 2. Express these mixed numbers as fractions
• a. b. c.
• 3. Express these fractions as mixed numbers
• a. b. c.

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PRACTICE PROBLEMS
4. Perform the indicated operations
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PRACTICE PROBLEMS
4. Perform the indicated operations