How do you convert 849 yards to mile?

    0

    ##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=milesxx849/849##
    ##0.48238…=milesxx1##
    ##0.48238…= miles##

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