compare 5 feet to 32 inches. The ratio is?

first when determining a ratio you want to put them both into the same units either ft or in

if you chose feet you would need to convert 32in to feet by mulitply it by 1ft/12in ⇒ (32in)(1ft/12in) = (8/3)ft

ratio of 5ft to 32 in would be the ratio of 5ft to (8/3) ft

= (5ft)/(8/3)ft = (5) * (3/8) = 15/8

if you choose inches you would need to convert 5ft to inches by muliplying it by 12in/1ft ⇒ (5ft)(12in/1ft) = 60 in

then the ratio of 5ft to 32 in would be the ratio of 60 in to 32in

=(60in)/(32in) = (15*4)/(8*4) = 15/8

Notice it didn't matter which units you used you got the same ratio