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Multiplying Fractions & Mixed Numbers

Multiplying Fractions & Mixed Numbers. 5 .NF.B.6. Multiplying Fractions & Mixed Numbers. 6. 2. =. 3. 8. 8. 2. 3. 2. 5. 3. 3. 3. 5. 3. 24. 2. ×. =. 15. 15. 24. ×. =. Let’s write the mixed number where we can have some space to work with it.

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Multiplying Fractions & Mixed Numbers

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  1. Multiplying Fractions & Mixed Numbers 5.NF.B.6

  2. Multiplying Fractions & Mixed Numbers 6 2 = 3 8 8 2 3 2 5 3 3 3 5 3 24 2 × = 15 15 24 × = Let’s write the mixed number where we can have some space to work with it. There is a denominator of 3 alongside the whole number 2. 3 x 2 = 6. The whole number 2 is equal to 6/3. And, here are 2 more thirds. 6/3 + 2/3 = 8/3 2-2/3 = 8/3 Now, we will multiply this by 3/5. What is 8 x 3? 24 And, what is 3 x 5? 15 8/3 x 3/5 = 24/15 So, 2-2/3 x 3/5 = 24/15. To find the product, we need to multiply a mixed number by a fraction. Here is 2-2/3 x 3/5. To solve this problem, we first need to convert the mixed number to an improper fraction.

  3. Multiplying Fractions & Mixed Numbers 44 4 5 5 40 8 = Before we continue multiplying, let’s convert some more mixed numbers to improper fractions. 40. That means the whole number 8 is equal to 40/5. Here are 4 more fifths. 40/5 + 4/5 = ? Here is 8 and 4/5. 5 x 8 = ? 44/5

  4. Multiplying Fractions & Mixed Numbers 68 5 9 9 63 7 = 63. That means the whole number 7 is equal to 63/9. Here are 5 more ninths. 63/9 + 5/9 = ? Here is 7 and 5/9. 9 x 7 = ? 68/9

  5. Multiplying Fractions & Mixed Numbers 11 3 4 4 8 2 = 8. That means the whole number 2 is equal to 8/4. Here are 3 more fourths. 8/4 + 3/4 = ? Here is 2 and 3/4. 4 x 2 = ? 11/4

  6. Multiplying Fractions & Mixed Numbers Lightning Round

  7. Multiplying Fractions & Mixed Numbers Convert the mixed number to an improper fraction. 17 2 3 3 5 =

  8. Multiplying Fractions & Mixed Numbers Convert the mixed number to an improper fraction. 1 9 2 2 4 =

  9. Multiplying Fractions & Mixed Numbers Convert the mixed number to an improper fraction. 59 3 7 7 8 =

  10. Multiplying Fractions & Mixed Numbers Convert the mixed number to an improper fraction. 27 3 4 4 6 =

  11. Multiplying Fractions & Mixed Numbers 9 3 = 11 11 7 2 7 2 8 3 3 3 8 3 77 3 × = 24 24 77 × = 9. The whole number 3 is equal to 9/3. Let’s write the mixed number where we can have some space to work with it. 3 x 3 = ? Add 2 more thirds ... … to get 11/3. 3-2/3 = 11/3 Now, we will multiply this by 7/8. What is 11 x 7? 77 And, what is 3 x 8? 24 11/3 x 7/8 = 77/24 So, 3-2/3 x 7/8 = 77/24. To find the product, we need to multiply a mixed number by a fraction. Now, let’s multiply again. Here is 3-2/3 x 7/8. To solve this problem, we first need to convert the mixed number to an improper fraction.

  12. Multiplying Fractions & Mixed Numbers 28 4 = 30 30 2 2 4 4 7 7 5 5 7 7 120 4 × = 35 35 120 × = 7 x 4 = ? Add 2 more sevenths ... … to get 30/7. 4-2/7 = 30/7 And, that is what we will multiply by 4/5. What is 4 x 30? 35 Let’s convert the mixed number to an improper fraction. 120 4/5 x 30/7 = 120/35 So, 4/5 x 4-2/7 = 120/35. 28. The whole number 4 is equal to 28/7. Here is 4/5 x 4-2/7. And, what is 5 x 7? Here is 4 and 2/7.

  13. Multiplying Fractions & Mixed Numbers 45 5 = 53 53 8 8 1 1 9 9 8 8 9 9 53 5 × = 72 72 53 × = 9 x 5 = ? Add 8 more ninths ... … to get 53/9. 5-8/9 = 53/9 Now, we will multiply this by 1/8. What is 1 x 53? 72 Let’s convert the mixed number to an improper fraction. 53 1/8 x 53/9 = 53/72 So, 1/8 x 5-8/9 = 53/72. 45. The whole number 5 is equal to 45/9. Here is 1/8 x 5-8/9. And, what is 8 x 9? Here is 5 and 8/9.

  14. Multiplying Fractions & Mixed Numbers Closing Question

  15. Multiplying Fractions & Mixed Numbers 18 6 = 20 20 2 2 2 2 3 7 3 3 3 7 40 6 × = 21 21 40 × = 18. 6 is equal to 18/3. So, 6-2/3 x 2/7 = 40/21. 20/3 x 2/7 = 40/21 21 And, what is 3 x 7? 40 6-2/3 = 20/3 Now, we will multiply this by 2/7. Here is 6-2/3 x 2/7. … to get 20/3. Add 2 more thirds ... 3 x 6 = ? Here is 6 and 2/3. What is 20 x 2? Let’s convert the mixed number to an improper fraction.

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