Measurement

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# Measurement - PowerPoint PPT Presentation

Measurement. Multiplying Fractions by Whole Numbers. Multiplying Fractions &amp; Whole Numbers. Many problems require the multiplication of whole numbers by a fraction. Example: Five packages of cookies are each ¾ full. How many full packages would this be if they were combined?.

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## PowerPoint Slideshow about 'Measurement' - onella

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### Measurement

Multiplying Fractions by Whole Numbers

Multiplying Fractions & Whole Numbers
• Many problems require the multiplication of whole numbers by a fraction.

Example: Five packages of cookies are each ¾ full.

How many full packages would this be if they were combined?

Multiplying Fractions & Whole Numbers
• We can use several strategies to solve this problem:

5 x ¾ =

By counting the number of quarters (1/4) blocks colored, we can determine the answer.

= 15/4 or 3 ¾

Multiplying and Dividing Fractions
• Or, we can use a number line.

1

2

3

4

5

0

1

2

3

4

Answer: 5 x ¾ = 15/4 or 3 ¾

Multiplying Fractions & Whole Numbers
• Another option: We can change the whole number to a fraction and multiply:

3

4

?

?

5

x

=

Multiplying Fractions & Whole Numbers
• We can change the whole number to a fraction and multiply:

5

1

3

4

?

?

x

=

Multiplying Fractions & Whole Numbers
• We can now multiply the fraction:

5

1

3

4

?

?

x

=

Multiplying Fractions & Whole Numbers
• The answer is in fraction form.

5

1

3

4

15

4

x

=

Multiplying Fractions & Whole Numbers
• This can be transformed into a mixed number.

5

1

3

4

3 ¾

x

=

Multiplying Fractions & Whole Numbers
• Or, we can use the following process to multiply directly:
• Multiply the whole number by the numerator

=

x

3

4

?

?

5

x

=

Multiplying Fractions & Whole Numbers
• The answer is the new numerator.

=

x

3

4

15

?

5

x

=

Multiplying Fractions & Whole Numbers
• The denominator remains the same as the denominator of the fraction.

3

4

15

?

5

x

=

Multiplying Fractions & Whole Numbers
• This gives the answer in a fraction form.

3

4

15

4

5

x

=

Multiplying Fractions & Whole Numbers
• This gives the answer in a fraction form.

3

4

15

4

5

x

=

Multiplying Fractions & Whole Numbers
• This can then be transformed into a mixed number.

3

4

5

3 ¾

x

=

Multiplying Fractions & Whole Numbers
• Assignment:

Page 100, Questions 1, 2, 3, 4