How do you convert 849 yards to mile?

##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"##