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Learning Objective

In this lesson, students will learn how to add fractions with unlike denominators by finding the lowest common denominator and creating equivalent fractions. They will practice this skill through guided practice and solve real-world problems.

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Learning Objective

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  1. Learning Objective Name __________________________ Fraction Numerator Denominator Today, we will add fractions that have unlike1 denominators. 1 different CFU What are we going to do today? Activate (or provide) Prior Knowledge A fraction is a number that names a part of a whole or a part of a group. To add fractions with like1 denominators, add the numerators and keep the denominator. 1 the same Add and write your answer in simplest form. CFU Teacher completes problem #1. Students complete problem #2. Students, you already know how to add fractions with like denominators and write your answer in simplest form. Today, we will use these skills to add fractions that have unlike denominators.

  2. Concept Development NOT Adding fractions correctly A B Equivalent Fractions Lowest Common Denominators Unlike Denominators • To add fractions, both fractions must have a common denominator. • If the fractions have unlike denominators, then we need to find the lowest common denominator (LCD). • Create equivalent fractions so that the LCD is the new denominator. • The lowest common denominator is the lowest multiple shared by a set of denominators. • Equivalent fractions are fractions with the same value but different numbers in the numerator and denominator. Adding Fractions that have Unlike Denominators CFU Which fractions are ready to be added? Explain your answer.

  3. Concept Development (Clarification and CFU) Equivalent Fractions 3 3 4 2 3 2 Equivalent Fractions: • To add fractions, both fractions must have a common denominator. • If the fractions have unlike denominators, then we need to find the lowest common denominator (LCD). • Create equivalent fractions so that the LCD is the new denominator. • The lowest common denominator is the lowest multiple shared by a set of denominators. • Equivalent fractions are fractions with the same value but different numbers in the numerator and denominator. Finding the Lowest Common Denominator and Equivalent Fractions List of Multiples for 2 and 3 Unlike Denominators 2 and 3 share the multiples 6, 12, 18,… The Lowest Common Denominator is 6 CFU Given the list of multiples for 3 and 4 below, what is the LCD of and ? List of Multiples for 3 and 4 3: 3, 6, 9, 12, 15, 18, 21, 24, ... 4: 4, 8, 12, 16, 20, 24, 28, …

  4. Skill Development/Guided Practice To add fractions, both fractions must have like denominators. Add fractions that have unlike denominators. 3 tell what it means 4: 4, 8, 12, 16 12: 12, 24, 36, 48 5: 5, 10, 15, 20 2: 2, 4, 6, 8, 10 3: 3, 6, 9, 12 2: 2, 4, 6, 8 = + + = = + + + + 5. Sherry bought of a pound of milk chocolate and of a pound of white chocolate. How much chocolate does Sherry have? 6. Tom bought of a pound of jelly beans and of a pound of gummy bears. How much candy did he buy? 8: 8, 16, 24, 32 6: 6, 12, 18, 24 + 3: 3, 6, 9, 12, 15 5: 5, 10, 15, 20 4: 4, 8, 12, 16 2: 2, 4, 6, 8, + He bought of a pound of candy. + She has pounds of chocolate. + CFU (#2) How did I/you find the lowest common denominator? (#3) How did I/you create equivalent fractions? (#4a) How did I express the sum in simplest form?

  5. Importance To add fractions, both fractions must have a common denominator. • Adding fractions that have unlike denominators can help you solve real-world problems that use fractions. • Adding fractions that have unlike denominators will help you do well on tests. CFU Does anyone else have another reason as to why it is important to add fractions that have unlike denominators? (pair-share) Why is it important to add fractions that have unlike denominators? You may give me one of my reasons or one of your own. Which reason is more important to you? Why?

  6. A B To add fractions, both fractions must have a common denominator. Concept Closure Which of the following problems is ready to be added? Explain your answer. __________________________________________________ __________________________________________________ Skill Closure Add fractions that have unlike denominators. Summary Closure + = What did you learn today about adding fractions that have unlike denominators? Day 1 ____________________________________________________________________ Day 2 ____________________________________________________________________ 4: 4, 8, 12, 16 8: 8, 16, 24, 32 4: 4, 8, 12, 16 6: 6, 12, 18, 24 + Carmen bought of a pound of fruit. +

  7. Independent Practice Name _____________________________ To add fractions, both fractions must have a common denominator. Add fractions that have unlike denominators. 8: 8, 16, 24, 32 4: 4, 8, 12, 16 6: 6, 12, 18, 24 3: 3, 6, 9, 12 8: 8, 16, 24, 32 12: 12, 24, 36, 48 = + + = + = + + + 7: 7, 14, 21, 28 4: 4, 8, 12, 16, 20, 24, 28 6: 6, 12, 18, 24 12: 12, 24, 36, 48 4: 4, 8, 12, 16, 20 5: 5, 10, 15, 20 + + + She has of an ounce of gold. of the pizza was eaten. He bought of a pound of nuts.

  8. Periodic Review 1 Name _____________________________ To add fractions, both fractions must have a common denominator. Add fractions that have unlike denominators. 12: 12, 24, 36, 48 16: 16, 32, 48, 64 6: 6, 12, 18, 24, 12: 12, 24, 36, 48 12: 12, 24, 36 4: 4, 8, 12, 16 = + + = + = + + + 6: 6, 12, 18, 24, 30, 36, 42 7: 7, 14, 21, 28, 35, 42 9: 9, 18, 27, 36, 45, 54, 63, 72 8: 8, 16, 24, 32, 40, 48, 56, 64, 72 8: 8, 16, 24, 32 6: 6, 12, 18, 24 She has of a pound of vegetables. + = He has pounds of nuts. + of the pizza was eaten. +

  9. Periodic Review 2 Name _____________________________ To add fractions, both fractions must have a common denominator. Add fractions that have unlike denominators. 5: 10, 15, 20, 25 15: 15, 30, 45, 60 10: 10, 20 , 30 , 40 4: 4, 8, 12, 16, 20 6: 6, 12, 18, 24 8: 8, 16, 24, 32 = + = = + + + + + 4: 4, 8, 12, 16 8: 8, 16, 24, 32 3: 3, 6, 9, 12 12: 12, 24, 36, 48 4: 4, 8, 12, 16 8: 8, 16, 24, 32, He has of a pound of fruit. of the candy was eaten. + He bought of a pound of cheese. + +

  10. Periodic Review 3 Name _____________________________ To add fractions, both fractions must have a common denominator. Add fractions that have unlike denominators. 5: 5, 10, 15, 20 10: 10, 20, 30, 40 12: 12, 24, 36, 48 4: 4, 8, 12, 16 12: 12, 24, 36, 48 4: 4, 8, 12, 16 = = = + + + + + + 6: 6, 12, 18, 24 8: 8, 16, 24, 32 8: 8, 16, 24, 32, 40 5: 5, 10, 15, 20, 25, 30, 35, 40 16: 16, 32 8: 8, 16, 24, 32 + He will have of a cup of punch. + + He bought pounds of nuts. She has of a pound of beans.

  11. × 1 2 3 4 5 2 2 4 6 8 10 3 3 6 9 12 15 4 4 8 12 16 20 5 5 10 15 20 25 6 6 12 18 24 30 7 7 14 21 28 35 8 8 16 24 32 40 9 9 18 27 36 45 10 10 20 30 40 50 11 11 22 33 44 55 12 12 24 36 48 60 13 13 26 39 52 65 14 14 28 42 56 70 15 15 30 45 60 75 16 16 32 48 64 80 17 17 34 51 68 85 18 18 36 54 72 90 19 19 38 57 76 95 20 20 40 60 80 100 First five multiples of the numbers 2 through 20. Creating Equivalent (equal) Fractions

  12. Problem re-written with new equivalent fractions. Original Problem Denominators must be the same to add fractions.

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