measurement multiplying fractions by whole numbers
TRANSCRIPT
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Measurement
Multiplying Fractions by Whole Numbers
![Page 2: Measurement Multiplying Fractions by Whole Numbers](https://reader031.vdocuments.site/reader031/viewer/2022020102/56649f2a5503460f94c44f4c/html5/thumbnails/2.jpg)
Many problems require the multiplication of whole numbers by a fraction.
Multiplying Fractions & Whole Numbers
Example: Five packages of cookies are each ¾ full.
How many full packages would this be if they were combined?
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We can use several strategies to solve this problem:
Multiplying Fractions & Whole Numbers
5 x ¾ =
= 15/4 or 3 ¾
By counting the number of quarters (1/4) blocks colored, we can determine the answer.
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Or, we can use a number line.
Multiplying and Dividing Fractions
0 1 2 3 4
1 2 3 4 5
Answer: 5 x ¾ = 15/4 or 3 ¾
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Another option: We can change the whole number to a fraction and multiply:
Multiplying Fractions & Whole Numbers
5 x34
??
=
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We can change the whole number to a fraction and multiply:
Multiplying Fractions & Whole Numbers
x34
??
=51
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We can now multiply the fraction:
Multiplying Fractions & Whole Numbers
x34
??
=51
![Page 8: Measurement Multiplying Fractions by Whole Numbers](https://reader031.vdocuments.site/reader031/viewer/2022020102/56649f2a5503460f94c44f4c/html5/thumbnails/8.jpg)
The answer is in fraction form.
Multiplying Fractions & Whole Numbers
x34
154
=51
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This can be transformed into a mixed number.
Multiplying Fractions & Whole Numbers
x34
3 ¾ =51
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Or, we can use the following process to multiply directly:
Multiply the whole number by the numerator
Multiplying Fractions & Whole Numbers
5 x34
??
=
x =
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The answer is the new numerator.
Multiplying Fractions & Whole Numbers
5 x34
15?
=
x =
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The denominator remains the same as the denominator of the fraction.
Multiplying Fractions & Whole Numbers
5 x34
15?
=
![Page 13: Measurement Multiplying Fractions by Whole Numbers](https://reader031.vdocuments.site/reader031/viewer/2022020102/56649f2a5503460f94c44f4c/html5/thumbnails/13.jpg)
This gives the answer in a fraction form.
Multiplying Fractions & Whole Numbers
5 x34
154
=
![Page 14: Measurement Multiplying Fractions by Whole Numbers](https://reader031.vdocuments.site/reader031/viewer/2022020102/56649f2a5503460f94c44f4c/html5/thumbnails/14.jpg)
This gives the answer in a fraction form.
Multiplying Fractions & Whole Numbers
5 x34
154
=
![Page 15: Measurement Multiplying Fractions by Whole Numbers](https://reader031.vdocuments.site/reader031/viewer/2022020102/56649f2a5503460f94c44f4c/html5/thumbnails/15.jpg)
This can then be transformed into a mixed number.
Multiplying Fractions & Whole Numbers
5 x34
3 ¾ =