Adding fractions
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1. This document provides instructions for adding fractions with common and unlike denominators. It explains that for common denominators, you add the numerators and keep the denominators the same. 2. For unlike denominators, you need to find a common denominator using the least common multiple (LCM) of the denominators. You multiply the numerator and denominator of each fraction by the LCM to obtain equivalent fractions with a common denominator that can be added. 3. The document provides examples of finding the LCM of different number pairs and using it to convert fractions to equivalent fractions with a common denominator to allow addition.
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1) To add or subtract rational expressions with the same or different denominators, we first find the least common denominator (LCD), which is the least common multiple of the denominators.
2) We then rewrite the rational expressions with the LCD as the common denominator before adding or subtracting the numerators.
3) Once the rational expressions have been rewritten with the same denominator, we can perform the addition or subtraction operation as we would with numerical fractions.Math6Qtr1Day2.ppt
Math6Qtr1Day2.pptssuser20621f
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This document provides instruction on adding and subtracting fractions with unlike denominators. It explains that a common denominator is needed and demonstrates finding the lowest common multiple of the denominators by listing multiples and using the first number that appears in both lists. Several examples are worked through step-by-step, showing the identification of the common denominator and the calculation. Students are then provided practice problems with answers on the following slide to check their work.Math6_Q1_W1_D1_Addition_subtraction of fractions.ppt
Math6_Q1_W1_D1_Addition_subtraction of fractions.pptRobinMallari
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This document provides instruction on adding and subtracting fractions with unlike denominators. It explains that a common denominator is needed and demonstrates finding the lowest common multiple of the denominators by listing multiples and using the first number that appears in both lists. Several examples are worked through step-by-step, showing the identification of the common denominator and the calculation. Students are then provided practice problems with answers on the following slide to check their work.add_subt_fractions.ppt
add_subt_fractions.pptChadHoo
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This document provides instruction on adding and subtracting fractions with unlike denominators. It explains that a common denominator is needed and demonstrates finding the lowest common multiple of the denominators by listing multiples and using the first number that appears in both lists. Several examples are worked through step-by-step, showing the identification of the common denominator and the calculation. Students are then provided practice problems with answers on the following slide to check their work.Adding and subtracting fractions
Adding and subtracting fractionsnglaze10
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1) You cannot add fractions with different denominators without first finding a common denominator. This involves finding the lowest common multiple (LCM) of the denominators and converting the fractions to equivalent fractions with this common denominator.
2) To find the LCM, find the lowest number that both denominators will divide into.
3) Once fractions have a common denominator, you can simply add the numerators and keep the same denominator to add the fractions.Add Mixed Numbers
Add Mixed NumbersBrooke Young
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The document provides step-by-step instructions for adding mixed numbers. It begins with a review of key terms like denominator, unlike denominators, and mixed number. It then outlines a 4-step process for adding mixed numbers: 1) Find the least common denominator to make the fractions like, 2) Add the fractions, 3) Add the whole numbers, 4) Simplify the resulting fraction if possible. This is demonstrated through worked examples adding various mixed numbers like 1 3/7 + 3 1/2 and 2 3/5 + 4 6/7.All About Fractions Powerpoint part 1 EDU 290
All About Fractions Powerpoint part 1 EDU 290charn1km
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Fractions describe parts of a whole and are composed of a numerator and denominator. The numerator tells how many parts are showing, and the denominator tells the total number of parts. Fractions can be added, subtracted, multiplied, and reduced to their simplest form. Converting between improper fractions and mixed numbers involves dividing the numerator by the denominator to get a whole number part and remaining numerator part.Ad
Adding fractions
- 2. Adding Fractions with Common Denominators 1. Add the Numerators. 2. Keep the Denominators the same. 3 5 + 11 11 = 8 11 3 5 + 11 11 =
- 5. Reduce or simplify if necessary 2 15 + 3 15 = 5 15 5 15 歎 5 5 = 1 3 What does it mean to reduce or simplify?
- 8. Adding Fractions with Unlike Denominators 1. Find a common denominator using LCM. 2. Multiply numerator and denominator by LCM. 3. Add the converted fractions. What is an LCM?
- 10. + 2 3 = 6 5 We need to create fractions with like denominators in order to add these fractions. This is where we need LCM (Least Common Multiples)
- 11. 3: 3, 6, 9, 12, 15, 18 6: 6, 12, 18 The first common multiple is the Least Common Multiple This will become the new denominators in order to create like denominators to add fractions. List the multiples for each of the factors (denominators)
- 12. Adding Fractions with Unlike Denominators 3 7 + 3 4 = Multiples of 7: Multiples of 4: 7, 14, 21, 28 4, 8, 12, 16, 20, 24, 28
- 13. 3 7 12 28 = 3 4 = 21 28 X 4 X 4 X 7 X 7 3 3 7 4 + 12 21 28 28 + START READY TO ADD
- 14. Common Multiples for these numbers: 6: 12: What is the LCM?
- 15. Common Multiples for these numbers: 8: 12: What is the LCM?
- 16. Common Multiples for these numbers: 9: 12: What is the LCM?
- 17. Common Multiples for these numbers: 4: 12: What is the LCM?
- 18. Common Multiples for these numbers: 3: 5: What is the LCM?
- 19. Common Multiples for these numbers: 7: 16: What is the LCM?
- 20. Common Multiples for these numbers: 6: 5: What is the LCM?
- 21. + 2 3 = 9 4 What is the LCM that you need for a common denominator?
- 22. + 4 9 = 12 5 What is the LCM that you need for a common denominator?
- 23. + 4 7 = 9 5 What is the LCM that you need for a common denominator?
- 24. + 2 3 = 6 5 What is the LCM that you need for a common denominator?
- 25. + 4 9 = 2 1 What is the LCM that you need for a common denominator?
- 26. REVIEW In order to add fractions, what must you have? Explain a simplified fraction What is an LCM? What are LCMs used for? Why is it important to be able to find an LCM?