MIDTERM WEEK 1_FRACTION, PERCENT AND DECIMALS

MIDTERM WEEK 1_FRACTION.pptx

1. BUSINESS MATHEMATICS

2. “ FRACTION MATCHING BOARDS ”

3. . UNDERSTANDING FRACTIONS

4. . LEARNING OBJECTIVES: a. Perform fundamental operations on fractions and decimals b. Express fractions to decimals and percent forms and vice versa c. Illustrate how decimals and fractions can be written in terms of percent

5. UNDERSTANDINGFRACTIONS BASIC CONCEPTS . ADDITION AND SUBTRACTION OF FRACTIONS MULTIPLICATION AND DIVISION OF FRACTIONS

6. UNDERSTANDINGFRACTIONS . COMBINATION OF OPERATIONS AND COMPLEX FRACTIONS CONVERSIONS OF FRACTIONS TO DECIMAL AND PERCENT APPLICATIONS OF FRACTIONS

7. It represents a portion of a total. It is one or more of the equal parts into which a whole is divided or simply a ratio of two numbers.

8. NUMERATOR It is the number of equal parts being taken in a consideration . It is written above the denominator TWO PARTS OF A FRACTION It is the number of equal parts into which the whole is divided. DENOMINATOR

9. PARTS OF A FRACTION

10. NOTE: A fraction with a denominator of zero is undefined

11. THREE BASIC TYPES OF FRACTIONS PROPER FRACTIONS IMPROPER FRACTIONS MIXED FRACTIONS

12. It is a fraction whose numerator is less than its denominator. PROPER FRACTION EXAMPLES: THREE BASIC TYPES OF FRACTIONS

13. IMPROPER FRACTION It is a fraction whose numerator is is greater or equal to the denominator. EXAMPLES: THREE BASIC TYPES OF FRACTIONS

14. It is a number consisting of a whole number and a proper fraction , and is used to describe a quantity greater than 1 . MIXED NUMBER EXAMPLES: THREE BASIC TYPES OF FRACTIONS

15. ADDITION AND SUBTRACTION OF FRACTIONS

16. ADDITION OF FRACTION Two or more fractions with common denominator are added by adding the numerators over the common denominators. That is, for two fractions and , with common denominator C .  

17. TITLE HERE TITLE HERE TITLE HERE TITLE HERE EXAMPLES b. + +   a +   c. +  

18. Two or more fractions with a common denominator are subtracted by subtracting the numerators over the common denominator. SUBTRACTION OF LIKE FRACTIONS That is, for two fractions  

19. a.   b.   EXAMPLES

20. ADDITION AND SUBTRACTION OF UNLIKE FRACTIONS To obtain the value of the Least Common Denominator (LCD) we can apply the formula.     x LCD = ÷

21. PERFORM THE INDICATED OPERATIONS ADDITION AND SUBTRACTION OF UNLIKE FRACTIONS a. +   b. -  

22. ADDITION AND SUBTRACTION OF MIXED NUMBERS

23. T o add or subtract mixed numbers, first add or subtract the fraction . T hen add or subtract the whole numbers and combine the two results . ADDITION AND SUBTRACTION OF MIXED FRACTIONS

24. ADDITION AND SUBTRACTION OF MIXED NUMBERS EXAMPLES: a. 5 + 3   b. -  

25. MULTIPLICATION OF FRACTIONS

26. MULTIPLICATION OF FRACTIONS The product of two or more fractions is equal to the product of their numerators over the product of their denominators .That is, if and are fractions, then x = .  

27. MULTIPLICATION OF FRACTIONS b. x   a. x  

28. DIVISION OF FRACTIONS In the division of fractions, it is important to distinguish which is the dividend and which is the divisor . In the division of fractions by another, the dividend is multiplied by the reciprocal of the divisor . .

29. EXAMPLES; a. ÷  

30. MULTIPLICATION AND DIVISION OF MIXED NUMBERS STEPS IN MULTIPLYING MIXED NUMBERS 1.) Convert each mixed number to an improper fraction 2.) Multiply the numerators 3.) Multiply the denominators 4.) Express the answer as a mixed number or as a proper fraction in simplest form.

31. EXAMPLE: a.  

32. MULTIPLICATION AND DIVISION OF MIXED NUMBERS STEPS IN DIVIDING MIXED NUMBERS 1.) Convert each mixed number to an improper fraction. 2.) Find the reciprocal of the divisor. 3.) Multiply the dividend by the reciprocal of the divisor 4.) Express the answer as a mixed number or as a proper fraction in simplest form.

33. EXAMPLE: b.  

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