Multiplying and Dividing Fractions and Mixed Numbers Today you will learn to: multiply fractions and...
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Transcript of Multiplying and Dividing Fractions and Mixed Numbers Today you will learn to: multiply fractions and...
![Page 1: Multiplying and Dividing Fractions and Mixed Numbers Today you will learn to: multiply fractions and mixed numbers. divide fractions and mixed numbers,](https://reader035.fdocuments.net/reader035/viewer/2022062407/56649d765503460f94a57118/html5/thumbnails/1.jpg)
Multiplying and Dividing Fractions and Mixed NumbersToday you will learn to:• multiply fractions and mixed numbers.• divide fractions and mixed numbers,
M07.A-N.1.1.3: To apply properties of operations to multiply and divide rational numbers, including real-world contexts.
![Page 2: Multiplying and Dividing Fractions and Mixed Numbers Today you will learn to: multiply fractions and mixed numbers. divide fractions and mixed numbers,](https://reader035.fdocuments.net/reader035/viewer/2022062407/56649d765503460f94a57118/html5/thumbnails/2.jpg)
Warm-up Problem: Warm-up Problem: Multiplying FractionsMultiplying FractionsA paper published in a medical journal reported that about 11/25 of girls ages 16 to 17 do not exercise at all. The entire study consisted of about 2,500 girls. About how many did not exercise?
![Page 3: Multiplying and Dividing Fractions and Mixed Numbers Today you will learn to: multiply fractions and mixed numbers. divide fractions and mixed numbers,](https://reader035.fdocuments.net/reader035/viewer/2022062407/56649d765503460f94a57118/html5/thumbnails/3.jpg)
Multiplying FractionsWhen multiplying fractions and mixed
numbers, you do not need a common denominator as you do when adding and subtracting fractions and mixed numbers. To multiply fractions, you multiply their numerators and multiply their denominators, then simplify (if necessary).
![Page 4: Multiplying and Dividing Fractions and Mixed Numbers Today you will learn to: multiply fractions and mixed numbers. divide fractions and mixed numbers,](https://reader035.fdocuments.net/reader035/viewer/2022062407/56649d765503460f94a57118/html5/thumbnails/4.jpg)
Multiplying a Fraction by a Whole Number
To multiply a fraction by a whole number, write the whole number as a fraction with a denominator of 1.
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Multiplying Mixed Numbers
To multiply mixed numbers, first write them as improper fractions, and then multiply as you do with fractions.
![Page 6: Multiplying and Dividing Fractions and Mixed Numbers Today you will learn to: multiply fractions and mixed numbers. divide fractions and mixed numbers,](https://reader035.fdocuments.net/reader035/viewer/2022062407/56649d765503460f94a57118/html5/thumbnails/6.jpg)
Dividing FractionsTo divide by a fraction, multiply by
its reciprocal. Two numbers are reciprocals if their product is one. For example, the fractions 2/6 and 6/2 are reciprocals.
To find the reciprocal of a fraction, interchange the numerator and denominator.
![Page 7: Multiplying and Dividing Fractions and Mixed Numbers Today you will learn to: multiply fractions and mixed numbers. divide fractions and mixed numbers,](https://reader035.fdocuments.net/reader035/viewer/2022062407/56649d765503460f94a57118/html5/thumbnails/7.jpg)
Dividing Mixed Numbers
To divide mixed numbers, rewrite them as improper fractions.