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# Simplify Fractions Topic

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SIMPLIFYING FRACTIONS How to simplify fractions to lowest terms 15 Find the LARGEST number that the NUMERATOR and 25 DENOMINATOR can BOTH be divided by 15 ÷5 3 25 ÷5 5 3 5 This is the LOWEST term because no other number can be divided evenly into the numerator (3) AND the denominator (5). How to convert improper fractions to mixed numbers Let’s convert 17 (an improper fraction) to a mixed number: 7 Divide the NUMERATOR by the DENOMINATOR 17 ÷ 7 = 2 with a remainder of 3 2 is a whole number. The remainder 3 will become part of a fraction. The remainder 3 becomes the numerator and the denominator stays as 7. 17 converted to a mixed number 2 3/7 7 © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.

4 X + Another example: 13 ÷ 4 Divide the NUMERATOR by the DENOMINATOR 13 ÷ 4 = 3 with a remainder of 1 3 is a whole number. The remainder 1 will become part of a fraction. The remainder 1 becomes the numerator and the denominator stays as 4. 13 converted to a mixed number 3 ¼ 4 How to convert mixed numbers to improper fractions Mixed number = 2 3 Multiply the denominator (3) by the whole number (4) and then add the numerator (2). That answer becomes the NUMERATOR and the denominator stays the same. Like This: 2 3 x 4 = 12 + 2 = 14 14 3 3 4 © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.