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Comparing and Ordering Fractions and Decimals

Comparing and Ordering Fractions and Decimals. 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 all need a common denominator.

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Comparing and Ordering Fractions and Decimals

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  1. Comparing and Ordering Fractions and Decimals 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 • 1st, 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. Paul Amrita Corey Amrita sold 11/6 pizzas. Paul sold 1.875 pizzas. Corey sold 9/4 pizzas. Who sold the most pizza? The least pizza? Convert the decimal to a fraction and reduce. 375/2000 75/400 15/80 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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