1 / 12

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.

arnaud
Download Presentation

Comparing and Ordering Fractions and Decimals

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related