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Section 1.3 Fractions
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Vocab The Numerator is the number on top
The Denominator is the number on bottom The Factors of a number are those numbers that will divide into it evenly.
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Simplifying (aka reducing to lowest terms)
A fraction is simplified when the numerator and the denominator have no common factors. Simplify: 1) ) ) 245
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Multiplying Multiply across the numerators and denominators. Reduce if possible. EX: Multiply 1) · ) 3 · 10
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Dividing To divide, multiply by the RECIPROCAL
In other words, FLIP the 2nd fraction and multiply. EX: Divide 1) ÷ ) ÷ 30
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Adding and Subtracting
Before you can add or subtract, you must have a common denominator! Once both fractions are in terms of the LCD, add or subtract the numerators only. EX: Add or Subtract 1) )
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Mixed Numbers Need to be written as improper fractions before you work with them! Multiply the denominator by the whole #, then add the numerator. (Write over the denominator). EX:
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