Ordering and Comparing Examples of Ordering By Maria Kuhn and Youssef Ayad How to order fractions 1. Simplify all fractions to the smallest possible they can be

2. Get common denominators for all fractions

3. Order them according to smallest to largest Comparing fractions 1. Simplify all fractions as much as you can

2. Give them all common denominators

3. Compare the numbers and put <, >, or = between them to show if it is smaller, bigger, or equal to Problems for the class to do 1. 5/6 __ 3/4. find the least common denominator which is 12. The fractions turn into 10/12 and 9/12. 10/12 is the bigger fraction so the answer is 5/6 > 3/4 because you convert the fractions back for the original answer Ordering: 1. 1/4, 1/5, 4/5, 3/4 2. 8/4, 90/180 1/2, 1/3 Comparing: 1. 4/3 __ 3/2 2. 6/15 __ 200/500 Examples of Comparing 2. 2/5, 5/6, 2/3. Find the common denominator, which is 30. The fractions now are 12/30, 25/30, 20/30. Now order them from least to greatest. 12/30, 20/30, 25/30. Now convert back to original fractions. 2/5, 2/3, 5/6. 2. 2/8,___ 1/6. 6 and 8 both go into 24, because that is the least common denominator. The fractions now are 6/24 and 4/24. 6/24 is bigger than 4/24, so the answer is 6/24> 4/25, but first convert them into the original fractions. the final answer is 2/8> 1/6. 3. 7 3/4___ 7 4/5. first see is one of the whole numbers is larger than the other. If not, compare the fractions. 3/4 becomes 15/20 and 4/5 becomes 16/2o. 16/20> 15/20, or 4/5 is larger than 3/4. so 7 3/4 < 7 4/5 How to order decimals and fractions Comparing Decimals and Fractions 1. Convert all decimals to fractions 1. Convert the decimals to fractions or if its easier, fractions to decimals

2. If its in fractions, simplify as far as you can

3. Find a common denominator

4. Put a <, >, or = to show if the first number is smaller, larger, or the same as the other number 2. After you have all fractions, find a common denominator 3. Once there is a common denominator, order the fractions from least to greatest. 4. Leaving the fractions in the original order, convert them back to the original numbers 1. 5/6, 7/9, 2/3. Find the common denominator, 18. the new fractions now are 15/18, 14/18, 12/18. Now you have to order them: 12/18, 14/18, 15/18. now convert back. 2/3, 7/9, 5/6 Problems for the class to do Ordering: 1. 1/2, .45, .1, 9/7

2. 0/3, 7/9, .3333, 2/7 Comparing 1. 4.5 __ 5/4

2. .99, __ 2/3 3. 14/15, 2/5, 1/3. Find the common denominator, which is 15. the fractions are now 14/15, 6/15, 5/15. Now you have to order them 5/15, 6/15, 14/15. Now convert them back. 1/3, 2/5, 14/15.

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# Organizing/comparing decimals and fractions

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