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# Adding and subtracting fractions with like denominators

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### Adding and subtracting fractions with like denominators

1. 1. Adding and Subtracting Fractions with like Denominators<br />
2. 2. What the heck is a numerator and denominator?<br />Fractions are made of two parts; the numerator and denominator. <br />The numerator is the number on top of the fraction. <br />The denominator is the number on the bottom of the fraction. <br />
3. 3. How do I add fractions with the same denominator?<br />To add or subtract fractions the denominators, or bottom numbers, must be the same. <br />
4. 4. Then…<br />You simply add the numerators, or top numbers, and keep the denominators the same. <br />
5. 5. Practice on your white board<br />1.<br />2.<br />3. <br />
6. 6. Now put into simplest or reduced form<br />Simplest or reduced form means that a number is reduced<br />
7. 7. Let’s practice!<br />We’re going to add:3/6 + 1/6<br />Are the denominators the same?<br />Add the numerators, keep the denominator.<br />You should have gotten 4/6<br />Do you think we can reduce 4/6?<br />Yes!<br />
8. 8. Now let’s reduce!<br />First, we have to factor our numerator and denominator. <br />4: the factors of 4 are…1,2,4<br />6: the factors of 6 are…1,2,3,6<br />Which number in the two list is the Greatest Common Factor (GFC)<br />2<br />
9. 9. Finish reducing<br />Now that we’ve figured out the GFC, divide the numerator and denominator by the GFC<br /> 2= 2<br /> 2 = 3<br />Our reduced fraction is now 2/3<br />
10. 10. Mixed Numbers and Improper Fractions<br />Sometimes when we add fractions we get an improper fraction as our sum:<br />
11. 11. How to turn an improper fraction into a mixed number…it’s so easy!<br />23/3 is an improper fraction<br />To make it a mixed number you simply have to divide the numerator, top number, by the denominator, bottom number. <br />23 3= 7 R 2<br />7 is your whole number, 2 becomes your numerator and 3 stays are your denominator.<br />
12. 12. Now you try!<br />Turn each improper fraction into a mixed number<br />15/2<br />22/7<br />9/2<br />Answers…<br />7 ½<br />3 1/7<br />4 ½ <br />