When measuring objects, it is sometimes necessary to convert between inches and fractional units. Fractions are a common way to measure objects, especially in cases where precision is important. However, understanding how to convert between inches and fractions can be difficult. This guide will provide an overview of the process of converting from inches to fractions, and from fractions to inches.
Converting from Inches to Fractions
When converting from inches to fractions, the first step is to determine the denominator of the fraction. This is the number that appears on the bottom of the fraction. The denominator will be determined by the smallest unit of measurement being used. For example, if the measurement is in 1/32nds of an inch, then the denominator would be 32. It is then necessary to divide the number of inches by the denominator.
For example, if the measurement is 335 inches, and the denominator is 32, then the fraction would be 335/32. This fraction can then be simplified if necessary, by dividing both the numerator and denominator by the same number until they cannot be reduced any further.
Converting from Fractions to Inches
When converting from fractions to inches, the process is essentially the reverse of the process outlined above. The numerator of the fraction must be multiplied by the denominator, and the result is the number of inches. For example, if the fraction is 7/32, then the number of inches would be 224/32, or 7 inches.
It is important to note that the fraction must be in its simplest form before attempting to convert it to inches. If the denominator is not a power of two (1/2, 1/4, 1/8, 1/16, etc.), then the fraction must be simplified first. This can be done by dividing both the numerator and denominator by the same number until they cannot be reduced any further.
Using a Conversion Chart
For those who are not comfortable with the process outlined above, there are a number of conversion charts available online which can be used to help with the conversion process. These charts list a range of fractions, along with their equivalent in inches, and can be used as a reference when converting between the two systems.
Using the process outlined above, it is possible to convert 335 inches to a fraction. Dividing 335 by 32 gives a result of 10 15/32. This fraction can then be simplified if necessary, by dividing both the numerator and denominator by the same number until they cannot be reduced any further. In this case, the numerator and denominator can both be divided by 15, giving a result of 10 1/2.
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