##849″ yards” ~~0.482″ miles”## to 3 decimal places
##color(blue)(“Using ratio”)##
##(“miles”)/(“yards”) ->1/1760-=(“miles”)/849## ##” “color(red)(uarr)## ##” “color(red)(“This means equivalent to”)##
To change 1760 to 849 we multiply by ##849/1760##
##color(green)([ 1/1760color(red)(xx1)] ” “=” “[1/1760color(red)(xx( color(white)(.) 849/1760 color(white)(.))/(849/1760))]##
##” “=” “color(green)((0.48238…)/849)##
##849″ yards” ~~0.482″ miles”## to 3 decimal places ++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++++++ ##color(blue)(“Shortcut method”)##
##color(brown)(“This is what the shortcut method should look like”)##
##1/1760=(“miles”)/849″ “->” miles”=859/1760 = 0.48283..##
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ##color(brown)(“This is why the shortcut method works”)##
##1/1760″ “=” “(“miles”)/849##
##1/1760″ “=” miles” xx1/849##
To get rid of the ##1/849## on the right hand side of the equals sign multiply both sides by 849. It turns it into 1
##color(white)(.)##
##849/1760=”miles”xx849/849##
##0.48238…=”miles”xx1##
##0.48238…=” miles”##
