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Adding, Subtracting, Multiplying and Dividing Fractions Adding and Subtracting Fractions with the same denominator Rule: Keep the common denominator and add the numerator. Notice that the denominator does not change, you only add the numerator. Example: 2/8 + 4/8= 6/8= 3/4 Example: 3/5 -2/5= 1/5 Additional Resources https://www.khanacademy.org/math/arithmetic/fractions/Adding_and_subtracting_fractions/v/addingfractions-with-like-denominators https://www.ixl.com/math/grade-6/add-and-subtract-fractions-with-like-denominators https://learnzillion.com/lesson_plans/8191-add-and-subtract-fractions-with-like-denominators https://www.mathsisfun.com/numbers/common-denominator.html Adding and Subtracting Fractions with different denominator Rule: Fractions must have the same denominators to add them. Step 1: Find common denominator ( find the LCM of the two numbers or you can always multiply the denominators together to find the common denominator ) Step 2: Rewrite the problem Step 3: Add/subtract numerators Step 4: simplify ( change all improper fractions to mixed numbers) Additional Resources https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/v/addingfractions-with-unlike-denominators http://www.mathplayground.com/howto_fractions_diffden.html http://www.math.com/school/subject1/lessons/S1U4L3GL.html https://www.ixl.com/math/grade-6/add-and-subtract-fractions-with-unlike-denominators Example: This is a bit tricky, but you'll think it's easy once you get used to it! Let's try this: The main rule of this game is that we can't do anything until the denominators are the same! We need to find something called the least common denominator (LCD)... It's really just the LCM of our denominators, 2 and 3. The LCM of 2 and 3 is 6. So, our LCD 6. We need to make this our new denominator... Change the : Change the : Now we can do it! Let's do another one: The LCM of 5 and 9 is 45... So our LCD is 45. Subtraction works the same way. The LCM of 11 and 22 is 22... So the LCD is 22. We just need to change the . Done! Multiplying Fractions Multiplying Fractions 1) Multiply the numerators 2) Multiply the denominators 3) Simplify your answer (change the improper fraction to a mixed number) Multiplying mixed numbers 1) Rewrite mixed numbers as an improper fraction 2) Multiply the fractions 3) Simplify your answers (change the improper fraction to a mixed number) Additional Resources https://www.mathsisfun.com/fractions_multiplication.html https://www.khanacademy.org/math/arithmetic/fractions/multiplying_fractions/v/multiplying-fractions http://www.mathplayground.com/fractions_mult.html IXL.com Dividing Fractions Step: Invert the fraction that you are dividing by. Step 2: multiply the numerators and denominators Step 3: simply the fraction if necessary (change the improper fraction to a mixed number) Use Keep Change Flip! Additional Resources IXL.com https://www.mathsisfun.com/fractions_division.html http://www.mathplayground.com/fractions_div.html