Converting Mixed Numbers and Improper Fractions PowerPoint

What is an improper fraction? An improper fraction is a fraction where the numerator is larger than the denominator. Example: 78 3

A mixed number is a whole number and a fraction. Example: 7 What is a mixed number? A mixed number is a whole number and a fraction. Example: 7 1 2

Mixed Numbers vs. Improper Fractions When you convert or change an improper fraction to a mixed number or a mixed number to an improper fraction, the values of each are still the same. Look at how this improper fraction and mixed number represent the same amount. 3 7 2 means we have seven ½ pieces 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 means we have 3 wholes and another ½. 1 2 1 2 1 1 1

Converting Mixed Numbers to Improper Fractions Multiply the denominator of the fraction by the whole number. Add the numerator to the product. Put that sum over the original denominator.

Converting Mixed Numbers to Improper Fractions Example 7 Step 1: 2 x 7 = 14 Step 2: 14 + 1 = 15 Step 3: 1 2 + x 15 2

Practice Convert the following mixed numbers to Improper fractions. 5 8 9 7 4 3 2 7 4 9 1 3 3 8 2 5 6 7

Converting Improper Fractions to Mixed Numbers Divide the numerator by the denominator. The quotient is your whole number. Put the remainder over the original denominator to get your fraction.

Converting Improper Fractions to Mixed Numbers Example 7 R 1 2 15 7 -14 1 15 2 1 2

Practice Convert the following improper fractions to mixed numbers. 19 3 44 6 76 5 39 8 97 4 64 6