There are #2# cups in a pint
and #2# pints in a quart #therefore# there are #2 times 2 =4# cups in a quart
Then
#52color(white)(l)"cups" times (1color(white)(l)"quart")/(4color(white)(l)"cups")=(52cancel("cups")times1color(white)(l)"quart")/(4cancel("cups"))#
#=52/4color(white)(l)"quarts"=13color(white)(l)"quarts"#