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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. - PowerPoint PPT Presentation
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Multiplying Fractions & Mixed Numbers
5.NF.B.6
23
35
=×2
232
6=
83
83
35
=×2415
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.
2415
Multiplying Fractions & Mixed Numbers
458
40=
445
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
597
63=
689
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
342
8=
114
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
Multiplying Fractions & Mixed Numbers
Lightning Round
Convert the mixed numberto an improper fraction.
235 =
173
Multiplying Fractions & Mixed Numbers
124 =
92
Convert the mixed numberto an improper fraction.
Multiplying Fractions & Mixed Numbers
378 =
597
Convert the mixed numberto an improper fraction.
Multiplying Fractions & Mixed Numbers
346 =
274
Convert the mixed numberto an improper fraction.
Multiplying Fractions & Mixed Numbers
23
78
=×3
233
9=
113
113
78
=×7724
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.
7724
9. The whole number 3 is equal to 9/3.
Multiplying Fractions & Mixed Numbers
45
27
=×
274
28=
307
45
307
=×12035
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.
12035
28. The whole number 4 is equal to 28/7.
4
Multiplying Fractions & Mixed Numbers
18
89
=×
895
45=
539
18
539
=×5372
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.
5372
45. The whole number 5 is equal to 45/9.
5
Multiplying Fractions & Mixed Numbers
Closing Question
Multiplying Fractions & Mixed Numbers
23
27
=×6
236
18=
203
203
27
=×4021
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.
4021
18. 6 is equal to 18/3.
Multiplying Fractions & Mixed Numbers