multiplying fractions
TRANSCRIPT
![Page 1: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/1.jpg)
Multiplication of
Fractions
![Page 2: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/2.jpg)
Times You Would Multiply a Fraction Times a Fraction
• Your family eats 1/8 of 1/2 of a left over wedding cake. 1/8 of 1/2 or 1/8 x 1/2
![Page 3: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/3.jpg)
Times You Would Multiply a Fraction Times a Fraction
• Jose had already read 1/2 of his novel. Today he read 1/12 of the 1/2 left. How much of the book has he read?
1/12 of 1/2 or 1/12 x 1/2
![Page 4: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/4.jpg)
Multiplying FractionsConceptual Understanding
• When you multiply two fractions that are between 0 and 1 the product is smaller than both fractions.
½ x ¾ = 3/8 Look at the diagram on the next slide to understand why.
![Page 5: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/5.jpg)
Multiplying FractionsConceptual Understanding
½ x ¾ = 3/8 ¼ ¼ ¼ ¼
1/8 1/8 1/8
![Page 6: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/6.jpg)
How to Find a Fraction of a Fraction
• The first thing to remember is “of” means multiply in mathematics.
of = x
![Page 7: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/7.jpg)
How to Find a Fraction of a Fraction
• Step 1 - When you see a fraction problem you know when you read “of” in the problem you multiply.
ofx12
49
![Page 8: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/8.jpg)
How to Find a Fraction of a Fraction
• Step 2 – Multiply your numerators straight across.
x 49
12 = 4
![Page 9: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/9.jpg)
How to Find a Fraction of a Fraction
• Step 3 – Then multiply your denominators straight across.
x 49
12 = 4
18
![Page 10: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/10.jpg)
How to Find the Fraction of a Fraction
• Step 4 – Simplify your answer. In this case we reduce.
x 49
12 = 4
18÷÷
22= 2
9
![Page 11: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/11.jpg)
Multiply and Simplify
95
16 = 9
30 103x ÷
÷33 =
![Page 12: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/12.jpg)
Multiply and Simplify
34
89 = 24
36 32x ÷
÷1212=
![Page 13: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/13.jpg)
Multiply and Simplify
43
72 = 28
6 6)284x
2444 4
6÷÷22 = 2
34
![Page 14: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/14.jpg)
Multiply and Simplify
92
34 = 27
8 8)273x
243
38
![Page 15: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/15.jpg)
Multiply and Simplify
82
73 = 56
6 6)569x
542
26
9 26
÷ 22 =9 1
3÷
![Page 16: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/16.jpg)
Multiply and Simplify
34
42 = 12
8 8)121x84
48
1 48
÷ 44
= 1 12÷
![Page 17: Multiplying Fractions](https://reader035.vdocuments.us/reader035/viewer/2022062514/558b800fd8b42a29228b458f/html5/thumbnails/17.jpg)
Reference:Yuskaitis, Monica. (2000) Retrieved fromhttp://portal.bentonvillek12.org/athurman/5th%20Grade%20Math/Module%205/Multiplication%20of%20mixed%20numbers.pdf