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4.1 – Fractions and Mixed Numbers

4.1 – Fractions and Mixed Numbers. Fractions. Defn : Numbers that show the number of parts existing compared to the number of parts in a whole. Numerator (a): the top number of a fraction that describes the number of parts existing.

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4.1 – Fractions and Mixed Numbers

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  1. 4.1 – Fractions and Mixed Numbers Fractions Defn: Numbers that show the number of parts existing compared to the number of parts in a whole. Numerator (a): the top number of a fraction that describes the number of parts existing. Denominator (b): the bottom number of the fraction that describes the number of parts that make a whole.

  2. 4.1 – Fractions and Mixed Numbers Write a fraction to represent the shaded portion of each figure.

  3. 4.1 – Fractions and Mixed Numbers Write a fraction to represent the shaded portion of each figure.

  4. 4.1 – Fractions and Mixed Numbers Draw and shade each fraction.

  5. 4.1 – Fractions and Mixed Numbers Proper Fractions Defn: A fraction whose numerator is smaller than its denominator. Improper Fractions Defn: A fraction whose numerator is larger than its denominator. Mixed Numbers Defn: A number which is made up of an integer and a fraction.

  6. 4.1 – Fractions and Mixed Numbers Classify each of the following fractions: improper proper improper mixed number proper mixed number

  7. 4.1 – Fractions and Mixed Numbers Converting Mixed Numbers to Improper Fractions 1. Multiply the denominator by the integer. 2. Add the numerator to the product of the denominator and the integer. 3. Write the sum as the numerator over the original denominator.

  8. 4.1 – Fractions and Mixed Numbers Converting Mixed Numbers to Improper Fractions

  9. 4.1 – Fractions and Mixed Numbers Converting Improper Fractions to Mixed Numbers 1. Divide the numerator by the denominator. 2. The quotient is the integer of the mixed number. 3. The remainder is the numerator over the original denominator.

  10. 4.1 – Fractions and Mixed Numbers Converting Improper Fractions to Mixed Numbers

  11. 4.2 – Factors and Simplest Form Divisibility Tests 1. A whole number is divisible by 2 if the number is even. 2. A whole number is divisible by 3 if the sum of the digits is divisible by 3. (is divisible by 3) (is divisible by 3) 3. A whole number is divisible by 4 if the last 2 digits are divisible by 4. (28 is divisible by 4) (36 is divisible by 4)

  12. 4.2 – Factors and Simplest Form Divisibility Tests 4. A whole number is divisible by 5 if the number ends in a 0 or a 5. 5. A whole number is divisible by 6 if it is divisible by both 2 and 3. (is divisible by 2 and 3) (is divisible by 2 and 3) 6. A whole number is divisible by 9 if the sum of the digits is divisible by 9. (is divisible by 9)

  13. 4.2 – Factors and Simplest Form A Number as a Product of Prime Numbers Factor Trees

  14. 4.2 – Factors and Simplest Form A Number as a Product of Prime Numbers Factor Trees

  15. 4.2 – Factors and Simplest Form Simplest Form Defn: A fraction is in simplest form when the numerator and denominator have no other common factors other than 1.

  16. 4.2 – Factors and Simplest Form Simplest Form Write in Simplest Form.

  17. 4.2 – Factors and Simplest Form Simplest Form Write in Simplest Form. common factor is 4

  18. 4.2 – Factors and Simplest Form Simplest Form Write in Simplest Form. common factor is 7a2

  19. 4.2 – Fractions and Simplest Form Equivalent Fractions – Two Methods 1. Simplify each fraction. 2. Cross Multiply. Fractions are equivalent.

  20. 4.2 – Fractions and Simplest Form Equivalent Fractions – Two Methods 1. Simplify each fraction. 2. Cross Multiply. Fractions are equivalent.

  21. 4.2 – Fractions and Simplest Form Equivalent Fractions – Two Methods 1. Simplify each fraction. 2. Cross Multiply. Fractions are not equivalent.

  22. 4.3 – Multiplying and Dividing Fractions Multiplying Fractions 1. Multiply the numerators. 2. Multiply the denominators. 3. The product of the numerators remains as the numerator as the product of the denominators remains as the denominator.

  23. 4.3 – Multiplying and Dividing Fractions Multiplying Fractions

  24. 4.3 – Multiplying and Dividing Fractions Multiplying Fractions

  25. 4.3 – Multiplying and Dividing Fractions Multiplying Fractions

  26. 4.3 – Multiplying and Dividing Fractions Multiplying Fractions

  27. 4.3 – Multiplying and Dividing Fractions Dividing Fractions 1. Write the reciprocal of the second fraction (the divisor). 2. Change the division operator to multiplication. 3. Work the problem as a multiplication problem.

  28. 4.3 – Multiplying and Dividing Fractions Dividing Fractions

  29. 4.3 – Multiplying and Dividing Fractions Dividing Fractions

  30. 4.3 – Multiplying and Dividing Fractions Dividing Fractions YES

  31. 4.3 – Multiplying and Dividing Fractions Dividing Fractions Hershey Park is located in Pennsylvania. Of its sixty rides, one-sixth of them are roller coasters. How many roller coasters are in Hershey Park?

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