E. Using Fractions with the Imperial System
E. Using Fractions with the Imperial System
Parts of units in the imperial system are often listed as fractions, instead of decimals. Often when fractions are given in a problem, it is expected that they will also be used in the solution to the problem.
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Example 1 |
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Covert «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»1«/mn»«mfrac»«mn»3«/mn»«mn»4«/mn»«/mfrac»«/math» mi into yards.
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Example 2 |
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Darwin needs two pieces of plastic border edging for a garden that is in the corner of his yard. If one side is of the garden is «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»12«/mn»«mo»`«/mo»«mn»7«/mn»«mfrac»«mn»5«/mn»«mn»8«/mn»«/mfrac»«mo»`«/mo»«mo»`«/mo»«/math»
and the other is «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»5«/mn»«mo»`«/mo»«mn»9«/mn»«mfrac»«mn»3«/mn»«mn»4«/mn»«/mfrac»«mo»`«/mo»«mo»`«/mo»«/math», how much border edging is required?
To determine the total length, the individual measurements will need to be added. This addition can be completed by converting everything to inches and then adding them or by adding the different units separately. This example shows adding the units separately.
Start by adding the smallest unit, the inches.
There are 12 inches in a foot, so this measurement can be written as
Now add this measurement to the feet.
So
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Darwin needs two pieces of plastic border edging for a garden that is in the corner of his yard. If one side is of the garden is «math style=¨font-family:`Times New Roman`¨ xmlns=¨