Multiplying Fractions & Mixed Numbers

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


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


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


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



Lightning Round

Convert the mixed numberto an improper fraction.

235 =

173


124 =

92



378 =

597



346 =

274



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.


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


4


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


5


Closing Question


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

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