measurement multiplying fractions by whole numbers
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Measurement
Multiplying Fractions by Whole Numbers
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?
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.
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
Another option: We can change the whole number to a fraction and multiply:
Multiplying Fractions & Whole Numbers
5 x34
??
=
We can change the whole number to a fraction and multiply:
Multiplying Fractions & Whole Numbers
x34
??
=51
We can now multiply the fraction:
Multiplying Fractions & Whole Numbers
x34
??
=51
The answer is in fraction form.
Multiplying Fractions & Whole Numbers
x34
154
=51
This can be transformed into a mixed number.
Multiplying Fractions & Whole Numbers
x34
3 ¾ =51
Or, we can use the following process to multiply directly:
Multiply the whole number by the numerator
Multiplying Fractions & Whole Numbers
5 x34
??
=
x =
The answer is the new numerator.
Multiplying Fractions & Whole Numbers
5 x34
15?
=
x =
The denominator remains the same as the denominator of the fraction.
Multiplying Fractions & Whole Numbers
5 x34
15?
=
This gives the answer in a fraction form.
Multiplying Fractions & Whole Numbers
5 x34
154
=
This gives the answer in a fraction form.
Multiplying Fractions & Whole Numbers
5 x34
154
=
This can then be transformed into a mixed number.
Multiplying Fractions & Whole Numbers
5 x34
3 ¾ =
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