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Good Afternoon!

Good Afternoon!. Today we will be learning about Multiplication of proper fraction & whole number. Let’s warm up :. Add :. 1) 4 + 1 5 2. 2) 3 + 5 4 8. 1) 3 10. 2) 3 8. 1. 1. Subtract :.

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Good Afternoon!

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  1. Good Afternoon! Today we will be learning about Multiplication of proper fraction & whole number Let’s warm up : Add: 1) 4 + 1 5 2 2) 3 + 5 4 8 1) 3 10 2) 3 8 1 1 Subtract: 3) 3 10 3) 4 - 1 5 2 4) 3 - 5 4 8 4) 1 8 CONFIDENTIAL

  2. Let’s review what we did in the last session We learnt the following terms: Adding unlike fractions is more complicated than adding like fractions. To add two fractions with unlike denominator do the following steps: Step1: Find the LCD ( Least Common Denominator) for each fraction. Step2: Express each fraction as an equivalent fraction whose denominator is the LCD for the two fractions. Step3: Add the fractions. Step4: Write the answer in simplest form. CONFIDENTIAL

  3. Review Find : 2 + 1 9 6 Here, before you can add the fractions with different denominators, you must first find equivalent fractions with the same denominator, like this: STEP 1: Find the LCD ( Least Common Denominator) for each fraction. Here the denominator are 6 and 9. Prime factorization of 6 = 2 × 3 Prime factorization of 9 = 3 × 3 LCD = 2 × 3 × 3 = 18 CONFIDENTIAL

  4. Review STEP 2: Let’s rewrite the fractions as equivalent fractions with the denominator 18. Here, 2 = 2 x 2 = 4 9 9 x 2 18 1 = 1 x 3 = 3 6 6 x 3 18 And, STEP 3: Add the fractions. 2 + 1 = 4 + 3 = 7 9 6 18 18 18 STEP 4: Write the answer in simplest form. The answer is7 18 Already in simplest form. CONFIDENTIAL

  5. Review Subtracting unlike fractions involves same process like adding unlike fractions. To subtract two fractions with unlike denominator do the following steps: Step1: Find the LCD ( Least Common Denominator) for each fraction. Step2: Express each fraction as an equivalent fraction whose denominator is the LCD for the two fractions. Step3: Subtractthe fractions. Step4: Write the answer in simplest form. CONFIDENTIAL

  6. Review Find : 4 - 1 9 6 Here, before you can subtract the fractions with different denominators, you must first find equivalent fractions with the same denominator, like this: STEP 1: Find the LCD ( Least Common Denominator) for each fraction. Here the denominator are 6 and 9. Prime factorization of 6 = 2 × 3 Prime factorization of 9 = 3 × 3 LCD = 2 × 3 × 3 = 18 CONFIDENTIAL

  7. Review Review STEP 2: Let’s rewrite the fractions as equivalent fractions with the denominator 18. Here, 4 = 4 x 2 = 8 9 9 x 2 18 1 = 1 x 3 = 3 6 6 x 3 18 And, STEP 3: Subtract the fractions. 4 - 1 = 8 - 3 = 5 9 6 18 18 18 STEP 4: Write the answer in simplest form. The answer is5 18 Already in simplest form. CONFIDENTIAL

  8. Today we will see Multiplication of proper fraction & whole number When we do the process of multiplication, We are to repeatedly add the multiplicand as many times as there are 1's in the multiplier. When multiplying a fraction you do not need a common denominator. Here, we multiply the two numerators (the top numbers) to make the new numerator, and multiply the two denominators (the bottom numbers) to make the new denominator. CONFIDENTIAL

  9. MULTIPLYING FRACTION BY WHOLE NUMBERS To multiply a fraction by a whole number follow the given steps: # The whole number must be turned into a fraction, with the whole number as the numerator, and the number 1 as the denominator. # Multiply out the numerators. # Multiply out the denominators. This does not change the denominator. # Simplify the final result. Change the improper fraction to a mixed fraction and simplify it if possible. CONFIDENTIAL

  10. Find: 3 x 3 4 We draw a model: x 3 That is, + + Now we count the number of blue boxes.The number of blue boxes = 9. Hence the solution is, 9 4 CONFIDENTIAL

  11. Find: 3 x 3 2 We can multiply by the means of Skip Counting also. By Skip Counting we mean that we can find the multiples of any number by hopping equal steps on the number line. 3 2 3 2 3 2 0 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2 • Here the numbers are taking 3 jumps each of 3 steps. 2 The product is 9. 2 CONFIDENTIAL

  12. Find: 3 x 3 4 STEP 1: The whole number must be turned into a fraction, with the whole number as the numerator, and the number 1 as the denominator. 3 1 So, we can write 3as STEP 2: Multiply out the numerators. 3 x 3 = 9 CONFIDENTIAL

  13. STEP 3: Multiply out the denominators. 4 x 1 = 4 This does not changes the denominator. STEP 3: Simplify the final result. Change the improper fraction to a mixed fraction and simplify it if possible. The result is9 . 4 1. 4 After simplification, the final result is2 CONFIDENTIAL

  14. What is 4 times of 2 . 5 Solution: 2 5 Here, we are given to multiply , 4 times. Hence, 2 x 4 = 2 x 4 5 5 1 4 1 Write 4as Multiply the numerators. = 2 x 4 = 8 5 1 5 Multiply the denominators. = 3 5 Change the result to a mixed fraction. 1 CONFIDENTIAL

  15. BREAK CONFIDENTIAL

  16. GAME Click on the link below for some exciting puzzle http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw-puzzles/12-piece-jigsaw/110505mouse.html CONFIDENTIAL

  17. Assignments Multiply: 1) 3 4 2) 1 3 1 1) 1 x 7 4 2) 2 x 5 3 3 3) 2 5 3) 2 x 6 5 4) 5 x 2 7 2 4) 3 7 1 CONFIDENTIAL

  18. 5) What is 8 times of 2 . 9 5) 7 9 1 6) What is 7 times of 3 . 5 6) 1 5 4 CONFIDENTIAL

  19. Multiply: 7) 9 x 7 13 8) 5 x 5 4 8) 1 4 7) 11 13 6 4 9) 7 x 3 8 10) 5 x 6 11 9) 5 8 2 10) 8 11 2 CONFIDENTIAL

  20. Very Good! Let's Review MULTIPLYING FRACTION BY WHOLE NUMBERS To multiply a fraction by a whole number follow the given steps: # The whole number must be turned into a fraction, with the whole number as the numerator, and the number 1 as the denominator. # Multiply out the numerators. # Multiply out the denominators. This does not change the denominator. # Simplify the final result. Change the improper fraction to a mixed fraction and simplify it if possible. CONFIDENTIAL

  21. Review Find: 3 x 3 4 We draw a model: x 3 That is, + + Now we count the number of blue boxes.The number of blue boxes = 9. Hence the solution is, 9 4 CONFIDENTIAL

  22. Review Find: 3 x 3 2 We can multiply by the means of Skip Counting also. By Skip Counting we mean that we can find the multiples of any number by hopping equal steps on the number line. 3 2 3 2 3 2 0 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2 • Here the numbers are taking 3 jumps each of 3 steps. 2 The product is 9. 2 CONFIDENTIAL

  23. Review Find: 3 x 3 4 STEP 1: The whole number must be turned into a fraction, with the whole number as the numerator, and the number 1 as the denominator. 3 1 So, we can write 3as STEP 2: Multiply out the numerators. 3 x 3 = 9 CONFIDENTIAL

  24. Review STEP 3: Multiply out the denominators. 4 x 1 = 4 This does not changes the denominator. STEP 3: Simplify the final result. Change the improper fraction to a mixed fraction and simplify it if possible. The result is9 . 4 1. 4 After simplification, the final result is2 CONFIDENTIAL

  25. You have done a nice job. See you in the next session. CONFIDENTIAL

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