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Fraction Vocab: Simplifying Fractions: Numerator - Method 1: Top number of a fraction 1) Find the common factors of the numerator and the denominator. Denominator Bottom number of a fraction Improper Fraction Fraction when the highest of the two numbers is on the top Greatest Common Factor (GCF) The largest factor of two or more numbers Least Common Denominator The least common multiple (LCM) of the denominators of two or more fractions. 2) Divide the numerator and the denominator by their lowest common factor. 3) Find the common factors of the numerator and denominator in the resulting fraction. he smallest factor of two numbers. Performing Operations On Fractions! 4) Keep dividing by a common factor until there are no common factors other than 1. Method 2: 1) Find the GCF of the numerator and the denominator. 2) Divide the numerator and the denominator by their greatest common factor (GCF). Steps to finding GCF: a. Write the factors of all your numbers b. Look for all the numbers that are the same Least Common Multiple- 6th Grade Mathematics c. The highest common number is Sources: http://www.mathsisfun.com/fractionsmenu.html Adding & Subtracting Same Denominators Steps: 1) Add the numerators of both fractions 2) Keep the denominator the same Different Denominators Steps: 1) Find the least common denominator. 2) Write both original fractions as equivalent fractions with the least common denominator. 3) Add (or subtract) the numerators. 4) Write the result with the denominator. Multiplication Division Steps: Steps: 1) Multiply the numerator by the numerator. 1) Turn the second fraction (the one you want to divide by) upside-down 2) Multiply the denominator by the denominator. 2) Multiply the first fraction by that reciprocal 3) Simplify the fraction (if needed)