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Lesson 3.2. When comparing and ordering fractions, all fractions must have common denominators. To order these numbers, 1/3, 2/3, 5/6 and 2/6, these fractions.

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Presentation on theme: "Lesson 3.2. When comparing and ordering fractions, all fractions must have common denominators. To order these numbers, 1/3, 2/3, 5/6 and 2/6, these fractions."— Presentation transcript:

1 Lesson 3.2

2 When comparing and ordering fractions, all fractions must have common denominators. To order these numbers, 1/3, 2/3, 5/6 and 2/6, these fractions all need a common denominator. With these numbers, the common denominator would be 6. Convert 1/3 and 2/3 to fractions with denominator or 6.

3 Once the denominators are the same, compare the numerators. The larger the numerator, the larger the fraction. Put the numbers in order from least to greatest.

4 Sometimes you may be asked to write a fraction between two numbers. Write a fraction between 1 ½ and 1 ¼. Write these fractions as improper fractions. Remember, multiply the denominator by the whole number and add the numerator. Keep the denominator the same.

5 Which number is greater? 1 ½ or 1 ¼ 2 1/6 or 2 1/3 1/5 or 7/9 8/7 or 9/6

6 Order these from least to greatest Convert to common denominators and order from smallest to biggest 2/3, 5/6, 1/3, 8/9, 5/9, 2/6 1 st, make all fractions have the same denominator, them, compare the numerators.

7 Order from least to greatest When you get a list of numbers that have some decimals in it, convert the decimal to a fraction, then convert to common denominators. 7/8, 9/8, 1 ¼, 0.75 Convert 0.75 to a fraction, then reduce the fraction and find the common denominator for all the fractions.

8 Find a fraction between these numbers.... Find a number between 5/7 and 6/7. Remember that you cannot have a decimal as a numerator so 5.5/7 is not a possible answer. Find a larger equivalent fraction. Now, find a fraction between 10/14 and 12/14. Answer would be 11/14.

9 Find the fraction between given fractions using equivalent fractions to find your answer. 7/9 and 8/9 10/11 and 9/11 12/20 and 13/20

10 Convert the following fractions to decimals to compare. 6/10, 3/5, 9/10, ½ Find the common denominator, convert to decimals, then compare. Once in decimal form, you can plot the numbers on a number line for benchmarks.

11 Page 95 #11 Open your textbooks to this question. PaulAmritaCorey Amrita sold 11/6 pizzas. Paul sold 1.875 pizzas. Corey sold 9/4 pizzas. Who sold the most pizza? The least pizza? 1)Convert the decimal to a fraction and reduce. 2)375/2000 3)75/400 4)15/80 5)3/16 Then, find the common denominator between the three fractions and order from least to greatest!

12 Homework WB 3.2 TB Page 94 – 95 #4, 5, 8, 10, 11


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