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Fraction Review A fraction consists of two numbers: a numerator (the top number) and a denominator (the bottom number). Numerator = number of parts Practice 1 6 Simplify Denominator = number of parts that make a whole 30 16 1. Simplifying Fractions Also called, reducing or writing the fraction in lowest terms 60 75 2. A fraction is simplified if the numerator and denominator have no factors in common other than 1. Perform the indicated operation and simplify, if needed. To simplify a fraction divide both the numerator and denominator by the largest number that will divide evenly into both. 3. 1 7 7 18 Examples: 18 30 4. 5 15 13 26 5. 11 5 14 14 3 6 5 6 3 5 10 xy 15 y 2 5 x y 3 5 y 2x 3 Multiplying Fractions Multiply straight across, numerator times numerator and denominator times denominator. Simplify, if possible. Examples: 3 1 4 5 11 3 y 24 5 3 20 33 y 120 11y 3 40 3 11y 40 Dividing Fractions Multiply the first fraction by the reciprocal (flip) of the second fraction. Examples: 3 4 1 5 3 5 4 1 3y 5y3 4 15 4 3y 1 4 5y3 3y 20 y 3 3 y 20 y 2 y 3 20 y 2 Adding or Subtracting Fractions DENOMINATORS must be the SAME to add or subtract fractions. Get a common denominator, if needed, then add or subtract the numerators and keep the common denominator. Simplify, if possible. Examples: 3 1 4 5 3 5 14 4 5 5 4 7 8 7 8 1 4 12 4 2 15 20 7 8 2 8 4 20 15 4 20 7 2 8 5 8 19 20 6. 200 2 5 7. 9a 10 2 5 8. 2 3y 5 6y 9. 1 7 3 x 10. 2 8 3 15 11. 9 5 10 12. 7 8 1 20 Answers on back Practice Answers 1. 15 8 4 5 2. 3. 1 18 4. 2 3 5. 3 7 6. 80 7. 9a 4 10 8. 1 6y 9. x 21 7x 10. 16 45 11. 9 50 12. 37 40