Fractions, Kinds of Fractions and Finding the Lowest Term
- 1. Fractions
- 2. Fractions Fractions are part of a whole. It has two parts: 1. numerator 2. denominator
- 3. Numerator and Denominator Numerator is the upper portion of the fraction. This is the shaded region in a fraction. Denominator is the bottom portion of a fraction. This tell us the number of parts the whole is divided into.
- 10. Naming Fractions
- 11. Naming Fractions
- 12. Naming Fractions
- 13. Kinds of Fractions Fractions are categorized into five: 1. proper fraction 2. improper fraction 3. similar fraction 4. dissimilar fraction 5. mixed number / fraction
- 14. Kinds of Fractions Proper Fractions – are fractions whose numerator is lesser than the denominator. Examples: 1/2, 2/3, 3/4, 4/5, 5/6
- 15. Kinds of Fractions Improper Fractions – are fractions whose numerator is greater than or equal to the denominator. Examples: 3/2, 4/3, 5/4, 6/5, 7/6 2/2, 3/3, 4/4, 5/5, 6/6
- 16. Kinds of Fractions Similar Fractions – are fractions whose denominators are the same. Examples: 1/2, 2/2, 3/2, 4/2, 5/2 1/3, 2/3, 3/3, 4/3, 5/3
- 17. Kinds of Fractions Dissimilar Fractions – are fractions whose denominators are different. Examples: 1/2, 2/3, 3/4, 4/5, 5/6 3/2, 4/3, 5/4, 6/5, 7/6
- 18. Kinds of Fractions Mixed Numbers / Fractions – are fractions with a whole number and a fraction part. Examples: 2 ½, 3 ¾, 5 ½, 10 ¾, 21 ½
- 19. Reciprocal of a Fraction The reciprocal of a fraction is interchanging the position of the numerator and the denominator. Examples: 2/3 = 3/2 3/4 = 4/3 5/6 = 6/5
- 20. Reciprocal of a Fraction Whole numbers have an imaginary denominator of 1. All whole numbers have 1 as their denominators. Examples: 2 = 2/1 = 1/2 3 = 3/1 = 1/3 4 = 4/1 = 1/4
- 21. Activity Give the reciprocal of the following numbers and fractions. 1. 10 2. 15 3. 9 4. 21 5. 55
- 22. Activity Give the reciprocal of the following numbers and fractions. 6. 4/5 7. 11/12 8. 21/25 9. 10/45 10. 9/10
- 23. Expressing Fractions Into Lowest Term To change or express fractions into lowest term, divide the numerator and the denominator by their greatest common factor. Examples: 2/4 ÷ 2/2 = 1/2 5/10 ÷ 5/5 = 1/2
- 24. Activity Change the following fractions into its lowest term. 1. 25/50 2. 3/9 3. 4/16 4. 5/25 5. 6/14
- 25. Activity Change the following fractions into its lowest term. 1. 18/20 2. 2/6 3. 7/21 4. 15/20 5. 30/100
- 26. Changing Improper Fraction to Mixed Number To change improper fraction to mixed number: a. Divide the numerator by the denominator. b. Use quotient as the whole number. c. Use remainder as the numerator. d. Copy the original denominator.
- 27. Changing Mixed Number to Improper Fraction To change mixed number to improper fraction : a. Multiply the denominator by the whole number. b. Add the product to the numerator. c. Use the sum as the new numerator. d. Copy the original denominator.
- 28. Activity Change the following mixed fraction to improper fraction and improper fraction to mixed fraction or vice-versa. 1. 23/5 2. 11/3 3. 33/6 4. 5 ½ 5. 10 ¾