Quantcast CONVERSION OF UNITS

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CONVERSION OF UNITS To  convert  a  measure  expressed  in  terms  of one unit to the equivalent in terms of a different unit  is,  when  you  know  the  ratio  between  the units,  a  simple  proportional  equation  problem. Suppose,  for  example,  that  you  want  to  convert a linear distance in engineer’s measure (feet and decimals of feet) to the equivalent in carpenter’s measure (feet and twelfths of feet) to the nearest one-eighth in. Suppose that the original distance is 12.65 ft. This means “12 ft and 65 hundredths of a foot.” You want to determine first, then, how many twelfths of a foot there are in 65 hundredths of  a  foot.  The  original  ratio  is  12/100.  The proportional  equation  solution  is  as  follows: Therefore, there are 7.8 in. (twelfths of a foot) in 0.65 ft. The next step is to determine how many eighths of an in. there are in 0.8 in.; that is, in eight-tenths of an in. The initial ratio is 8/10, and the proportional equation solution is as follows: Therefore, there are (rounded off) 6/8 in,, or 3/4  in.,  in  0.8  in.  In  12.65  ft,  then,  there  are 12  ft  7  3/4  in.  to  the  nearest  1/8  in. Actually, the proportional method used above can be simplified by using the following solution: Convert  12.65  ft  to  the  nearest  1/8  in.  in carpenter’s  measure. 12.65  ft  =  12  ft  +  (0.65  x  12  =  7.8  in,) 12  ft  7.8  in. =  12  ft  7.0  in.  +  (0.8  x  8  =  6.4 eighths) = 12  ft  7.0  in.  +  6/8  in.  or  3/4  in. to the nearest eighth in. =  12  ft  7  3/4  in. In  converting  from linear measure, or vice engineer’s  to  carpenter’s versa, surveyors working with  values  to  only  the  nearest  0.01  ft  fre- quently use the following conversions to decimal equivalents  of  inches  from  1  through  11  and decimal  equivalents  of  the  common  carpenter’s- measure  subdivisions  of  the  inch. 1  in.  =  0.08  ft 2  in.  =  0.17  ft 3  in.  =  0.25  ft 4  in.  =  0.33  ft 5  in.  =  0.42  ft 6  in.  =  0.50  ft 7  in.  =  0.58  ft 8  in.  =  0.67  ft 9  in.  =  0.75  ft 10  in.  =  0.83  ft 11  in,  =  0.92  ft 1 – in.   =  0.01  ft 8 Using these values, you can convert decimals of a foot to inches carpenter’s measure, or inches carpenter’s  measure  to  decimals  of  a  foot,  very easily. To convert (for example) 0.37 ft to inches carpenter’s  measure,  you  have  the  following: 1-34



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