Freehold Borough School District / Overview



Adding, Subtracting, Multiplying and Dividing Fractions198691581280Adding and Subtracting Fractions with the same denominatorRule: 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= 3/4Example: 3/5 -2/5= 1/5120586517145Additional Resources and Subtracting Fractions with different denominatorRule: 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 problemStep 3: Add/subtract numeratorsStep 4: simplify ( change all improper fractions to mixed numbers)Additional Resources: 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 FractionsMultiplying FractionsMultiply the numeratorsMultiply the denominatorsSimplify your answer (change the improper fraction to a mixed number) Multiplying mixed numbersRewrite mixed numbers as an improper fraction Multiply the fractionsSimplify your answers (change the improper fraction to a mixed number)Additional Resources FractionsStep: 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 ................
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