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Expert: Wei Chong
Date: 6/23/2008
Subject: Fractions
Question Pipe on is 6'4" & Pipe 2 is 8'1" How do i express the length of each pipe in feet using mixed fractions ?
Answer Hi Dave,
If you need to refresh yourself on mixed fractions, here is a math resource for you (scroll down the page for the math video):
Mixed Fraction & Improper Fractions:
http://www.mathexpression.com/improper-fractions.html
Now, with a clear understanding on what mixed fraction is all about, here's how to solve the question:
1) Know that 1 feet = 12 inch
This is a critical knowledge to convert between inch and feet. For examples, we know that:
12 inch = 1 feet
So, if we have 6 inches, we can see that 6 inch is half to 12 inch. This means that 6 inch is also half a feet. Hence:
6 inch = 1/2 feet
Another case, if we have 4 inch, since 4 inch is one-third of 12 inch, therefore 4 inch is also one-third of a feet. Hence:
4 inch = 1/3 feet
With this in mind, we can express 6'4" (6 feet 4 inch) in feet.
2) Expressing Pipe A: 6 feet 4 inch in feet
Now, with 4 inch = 1/3 feet, we can write:
6 feet 4 inch = 6 feet + 4 inch
= 6 feet + 1/3 feet
= 6 1/3 feet <--- here's your mixed fraction form
Now, we can apply the same idea to Pipe B - 8'1" (8 feet 1 inch)
2)Expressing Pipe B: 8 feet 1 inch in feet
8 feet 1 inch = 8 feet + 1 inch
Now, since 12 inch = 1 feet, 1 inch is one-twelve of 12 inch. This means that 1 inch is also one-twelve of a feet. Hence:
1 inch = 1/12 feet
So, we have:
8 feet 1 inch = 8 feet + 1 inch
= 8 feet + 1/12 feet
= 8 1/12 feet <--- here's your mixed fraction form
Best Regards,
Wei Chong
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