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

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2 3 3 5 =× 2 2 3 2 6 = 8 3 8 3 3 5 =× 24 15 Here is 2-2/3 x 3/5.To find the product, we need to multiply a mixed number by a fraction.To solve this problem, we first need to convert the mixed number to an improper fraction.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 = 8/32-2/3 = 8/3Now, we will multiply this by 3/5.What is 8 x 3?24And, what is 3 x 5?158/3 x 3/5 = 24/15So, 2-2/3 x 3/5 = 24/15. 24 15 Multiplying Fractions & Mixed Numbers

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4 5 8 40 = 44 5 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 Multiplying Fractions & Mixed Numbers

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5 9 7 63 = 68 9 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 Multiplying Fractions & Mixed Numbers

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3 4 2 8 = 11 4 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 Multiplying Fractions & Mixed Numbers

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Lightning Round

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

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

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

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

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2 3 7 8 =× 3 2 3 3 9 = 11 3 3 7 8 =× 77 24 Now, let’s multiply again. Here is 3-2/3 x 7/8.To find the product, we need to multiply a mixed number by a fraction.To solve this problem, we first need to convert the mixed number to an improper fraction.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 = 11/3Now, we will multiply this by 7/8.What is 11 x 7?77And, what is 3 x 8?2411/3 x 7/8 = 77/24So, 3-2/3 x 7/8 = 77/24. 77 24 9. The whole number 3 is equal to 9/3. Multiplying Fractions & Mixed Numbers

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4 5 2 7 =× 2 7 4 28 = 30 7 4 5 7 =× 120 35 Here is 4/5 x 4-2/7.Let’s convert the mixed number to an improper fraction.Here is 4 and 2/7.7 x 4 = ?Add 2 more sevenths...… to get 30/7.4-2/7 = 30/7And, that is what we will multiply by 4/5.What is 4 x 30?120And, what is 5 x 7?354/5 x 30/7 = 120/35So, 4/5 x 4-2/7 = 120/35. 120 35 28. The whole number 4 is equal to 28/7. 4 Multiplying Fractions & Mixed Numbers

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1 8 8 9 =× 8 9 5 45 = 53 9 1 8 9 =× 72 Here is 1/8 x 5-8/9.Let’s convert the mixed number to an improper fraction.Here is 5 and 8/9.9 x 5 = ?Add 8 more ninths...… to get 53/9.5-8/9 = 53/9Now, we will multiply this by 1/8.What is 1 x 53?53And, what is 8 x 9?721/8 x 53/9 = 53/72So, 1/8 x 5-8/9 = 53/72. 53 72 45. The whole number 5 is equal to 45/9. 5 Multiplying Fractions & Mixed Numbers

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Closing Question Multiplying Fractions & Mixed Numbers

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2 3 2 7 =× 6 2 3 6 18 = 20 3 3 2 7 =× 40 21 Here is 6-2/3 x 2/7.Let’s convert the mixed number to an improper fraction.Here is 6 and 2/3.3 x 6 = ?Add 2 more thirds...… to get 20/3.6-2/3 = 20/3Now, we will multiply this by 2/7.What is 20 x 2?40And, what is 3 x 7?2120/3 x 2/7 = 40/21So, 6-2/3 x 2/7 = 40/21. 40 21 18. 6 is equal to 18/3. Multiplying Fractions & Mixed Numbers

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