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Adding/Subtracting Fractions

Michigan GLCE: N.MR.04.27- Add and subtract fractions less that one with denominators through 12, and or 100, in cases where the denominators are equal or multiples of each other.
by

Christine Derkacz

on 20 April 2010

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Transcript of Adding/Subtracting Fractions

Adding and Subtracting Fractions and Simplest Form
1. Check for common denominator
ex: 2/5 +/- 1/5 ---> Common denominator
3/4 +/- 1/8 ---> Uncommon denominator
2. Find lmost common denominator of fractions w/ uncommon denominators

Add. ex: 3/4 + 1/8---> 4's Factors: 1*4, 2*2
8's Factors: 1*8, 2*4
2(3/4) = 2*3 , 2*4 = 6/8
New Problem---> 6/8 + 1/8

Sub. ex: 1/3 - 4/15---> 3's Factors: 1* 3
15's Factors: 1*15, 3*5
5(1/3) = 1*5 , 3*5 = 5/15
New Problem---> 5/15 + 4/15 4. Add the Numerators (top numbers) together, but keep the denominators the same
Add ex: 6/8 + 1/8 = 7/8
Sub ex: 5/15 + 4/15 = 9/15 **REMEMBER: WHAT EVER YOU DO TO THE TOP YOU MIUST DO TO THE BOTTOM, AND VICE-VERSA** 5. SIMPLIFY YOUR ANSWER!!! STEP 1- find any common multiples
ex: 9/15---> 9's Multiples: 1,3,9
15's Multiples: 1,3,5,15
COMMON MULTIPLE= 3 STEP 2- divide fraction (numerator and denominator) by the common multiple
ex: 9/15 / 3---> 9/3= 3 , 15/3= 5
New answer: 3/5
NOW YOU'RE FINISHED!!!! TIPS TO REMEMBER when adding and subtracting fractions... 2. WHAT YOU DO TO THE NUMERATOR (TOP) YOU MUST DO THE THE DENOMERATOR (BOTTOM). 3. When two numbers have more than one common multiple, the higher the number, the closer you will get to simplest form. 1. When adding or subtracting fractions, you MUSt have a common denominator in order to complet your answer.
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