1. 5 Minute Math 1. If represents ½ of a unit, what is the total number of units in the figure below? 2. Identify the fraction corresponding to the colored portion of the figure. a) 1/4 b) 4/8 c) 7/16d) 3/4

2. Ordering Fractions

3. Learning Goal We will use our prior knowledge of fractions, multiplication, division and comparing numbers so that we can order fractions. We’ll know we’ve got it when we can order fractions with the same numerator and when one denominator is the multiple of another.

4. Vocabulary Common Denominator Decreasing Order Denominator Increasing Order Lowest Common Denominator (LCM) Numerator

5. Ordering Fractions with the Same Numerator When fractions have the same numerator, compare only the denominators The smallest fraction has the greatest denominator 4/5 4/9 4/7 4/10 Increasing Order: 1.4/10 2.4/9 3.4/7 4.4/5 Decreasing Order 1.4/5 2.4/7 3.4/9 4.4/10

6. Ordering Fractions with the Same Denominator When fractions have the same denominator, compare only the numerators The greatest fraction has the greatest numerator 6/7 2/7 5/7 4/7 Increasing Order: 1.2/7 2.4/7 3.5/7 4.6/7 Decreasing Order 1.6/7 2.5/7 3.4/7 4.2/7

7. Ordering Fractions Where One Denominator is a Multiple of the Other(s) When fractions do not have the same denominator, put them over a common denominator You must find the denominators’ lowest common multiple (LCM) 1/123/45/6

8. Finding the Common Denominator Steps 1.Find the first 6 multiples of each denominator 2.Find the LCM of all 3 numbers. Here, the LCM is 12. Example Multiples of 12: 12, 24, 36, 48, 50, 72 Multiples of 4: 4, 8, 12, 16, 20, 24 Multiples of 6: 6, 12, 18, 24, 30, 36

9. Finding the Common Denominator Steps 3. Transform each fraction (3/4 and 5/6) into an equivalent fraction with 12 as the denominator. 4. Order these fractions with the same denominator, comparing only the numerators. Example 3/4 x 3 = 9/12 5/6 x 2 = 10/12 1/12 9/12 (3/4) 10/12 (5/6) 10/12 (5/6) 9/12 (3/4) 1/12