document.write( "Question 66035This question is from textbook An Incremental Development
\n" ); document.write( ": simplify\r
\n" ); document.write( "\n" ); document.write( "use unit multipliers to convert 27 cubic feet per minute to liters per hour
\n" ); document.write( "

Algebra.Com's Answer #46818 by venugopalramana(3286)\"\" \"About 
You can put this solution on YOUR website!
simplify\r
\n" ); document.write( "\n" ); document.write( "use unit multipliers to convert 27 cubic feet per minute to liters per hour\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "SEE THE FOLLOWING EXAMPLE TO UNDERSTAND THE METHODOLOGY.THE ANSWER TO YOUR QUESTION IS GIVEN AT THE END AFTER THE EXAMPLE.
\n" ); document.write( "----------------------------------------------------------------
\n" ); document.write( "I am needing a step-by-step process on how to convert
\n" ); document.write( "kilometers to miles.
\n" ); document.write( "The problem is 4690 km to miles?
\n" ); document.write( "A FOOL PROOF UNIT CONVERSION METHOD IS GIVEN BELOW.
\n" ); document.write( "1.LIST OUT THE CONVERSION FACTORS.HERE,WE KNOW
\n" ); document.write( "A.1KM=1000 M
\n" ); document.write( "B.1M=100 CM
\n" ); document.write( "C.2.54 CM =1INCH
\n" ); document.write( "D.12 INCHES=1 FEET
\n" ); document.write( "E. 3 FT=1 YARD
\n" ); document.write( "F.1760 YARDS =1 MILE.
\n" ); document.write( "2.START WITH WHAT IS GIVEN.....4690 KM.
\n" ); document.write( "3.KEEP THE OBJECTIVE IN MIND.WE HAVE TO CONVERT THIS
\n" ); document.write( "INTO MILES
\n" ); document.write( "4.NOW GO ON MULTIPLYING THE 4690 KM WITH UNIT RATIOS
\n" ); document.write( "FROM ABOVE CONVERSION FACTORS,PUTTING THE UNITS EVERY
\n" ); document.write( "TIME AND SEEING THAT AT THE END YOU GET ONLY MILES AND
\n" ); document.write( "ALL REST OF THE UNITS GET CANCELLED.SEE THE WORKING
\n" ); document.write( "BELOW.
\n" ); document.write( "5.UNIT RATIOS FROM ABOVE CONVERSIONS...
\n" ); document.write( "A.UNITY =1KM/1000M=1000 M/1 KM
\n" ); document.write( "B.UNITY = 1 M/100 CM = 100 CM/1 M.
\n" ); document.write( "C.UNITY = 2.54 CM/1 INCH = 1 INCH / 2.54 CM
\n" ); document.write( "D.UNITY = 12 INCHES/1 FT = 1 FT/12 INCHES
\n" ); document.write( "E.UNITY = 3 FT/1 YARD = 1 YARD /3 FT
\n" ); document.write( "F.UNITY = 1760 YARDS/1 MILE = 1 MILE/1760 YARDS.
\n" ); document.write( "6.WHICH UNITY RATIO YOU SHOULD USE BECOMES OBVIOUS
\n" ); document.write( "WHEN YOU PUT THE UNITS.
\n" ); document.write( "SEE THE EXAMPLE
\n" ); document.write( "STARTING WITH
\n" ); document.write( "4690 KM *1 KM/1000M...OR...WE SHOULD USE 4690
\n" ); document.write( "KM*1000M/1 KM IS THE QUESTION.THE GUIDING PRINCIPLE IS
\n" ); document.write( "THAT WE SHOULD END UP WITH METERS ON CONVERSION WHICH
\n" ); document.write( "HAPPENS IN THE SECOND CASE AS KM IN NUMERATOR CANCELS
\n" ); document.write( "WITH KM IN DENOMINATOR LEAVING ONLY METRES.IN THE
\n" ); document.write( "FIRST CASE WE GET KM*KM/METRE WHICH IS NOT WHAT WE
\n" ); document.write( "WANT..SO FOLLOWING THIS PRINCIPLE WE GET
\n" ); document.write( "4690KM*(1000M/1KM)*(100CM/1M)*(1INCH/2.54CM)*(1FT/12INCHES)*(1YARD/3FT)*(1MILE/1760
\n" ); document.write( "YARDS)
\n" ); document.write( "NOTE THAT KM,M,CM.INCH,FEET,YARD ALL CANCEL OUT IN
\n" ); document.write( "NUMERATOR AND DENOMINATOR LEVING ONLY MILES IN THE
\n" ); document.write( "NUMERATOR WHICH IS WHAT WE WANT.IF WE MAKE A MISTAKE
\n" ); document.write( "IN PUTTING THE UNIT RATIO APPROPRIATELY IT WILL
\n" ); document.write( "IMMEDIATELY SHOW UP.
\n" ); document.write( "SO REST IS SIMPLE ARITHMATIC WHICH YOU CAN DO I
\n" ); document.write( "SUPPOSE THE ANSWER IS
\n" ); document.write( "4690 KM = 2914.3 MILES
\n" ); document.write( "-------------------------------------------------------------------------
\n" ); document.write( "27 cubic feet per minute to liters per hour....................
\n" ); document.write( "=27[[FT*(12INCHES/FT)(2.54CM/INCH)]^3][(LITRE/1000CM^3)]/[MT*(HR/6O MT)
\n" ); document.write( "=27[(12*2.54)^3]*60/1000 LITRES/HOUR
\n" ); document.write( "=45873.29 LITRES/HR\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );