Top Three Takeaways
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Week 1.3
Construction Math
and Application
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Objectives
▪ Convert between improper
fractions and mixed
numbers.
▪ Add, subtract, multiply,
and divide decimal
fractions.
▪ Calculate dimensions.
▪ Calculate areas and
volumes of objects.
▪ Relate math to construction
problems.
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Countries That Do Not Use the Metric System
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▪ Real reason USA does not use the metric
system
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Fractions
(Goodheart-Willcox Publisher)
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Proper Fractions
▪ Numerator is less than the denominator
16
7
4
3
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Improper Fractions
▪ Numerator is greater than the denominator
4
5
16
19
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Good or bad design?
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Using Fractions
▪ Whole numbers can be changed to fractions
▪ Example:
• Change the whole number 6 into fourths
4
24
4
4
1
6 =
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Using Fractions
▪ Mixed numbers can be changed into improper
fractions
▪ Example:
• Convert 3 5/8 to an improper fraction
8
29
8
5
8
24
8
5
8
8
1
3
8
5 3 =+=+
=
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Using Fractions
▪ Improper fractions can be reduced to a whole or
mixed number
▪ Example:
• Reduce 17/4 to the lowest proper fraction
4
1 4417
4
17 ==
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Using Fractions
▪ Reduce fractions by dividing numerator and
denominator by the same number
▪ Example:
• Reduce 6/8 to the lowest fractional form
4
3
28
26
8
6 =
=
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Good or bad design?
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Adding Fractions
▪ All denominators must be the same
▪ Find the least common denominator (LCD)
▪ Add the numerators
▪ Convert to a mixed number
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Adding Fractions
▪ What is the least common denominator?
• Example:
• What must you multiply to get a common
denominator?
=++ 32
11
8
3
16
5
32
10
2
2
16
5 =
32
12
4
4
8
3 =
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Adding Fractions
▪ Example:
▪ Add and convert to a mixed number
=++ 32
11
8
3
16
5
32
1 1
32
33
32
11
32
12
