Question #6129c

1 Answer
Jan 27, 2017

Answer:

#1:24#

Explanation:

To make a direct comparison we need to use the same units of measurement.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Using inches")#

#color(brown)("Not normally shown this way")#

BRACKETS ARE USED TO GROUP THINGS. THEY SURVE NO OTHER PURPOSE.

1 foot has 12 inches #->6xx("1 foot has 12 inches")#

Multiply everything inside the bracket by 6
#" "->" "("6 feet has 72 inches")#

So 3 inches to 6 feet is the ratio #->" 3 inches : 6 feet"#

Which is the same as #" "->" 3 inches : 72 inches"#

3 will divide exactly into both 3 and 72 so simplify the ratio.

#->3:72" " -=" "(3-:3):(72-:3)" " =" " 1:24#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Using feet")#

3 inches is: #" "3/12# feet #->1/4" feet"#

So we have the ratio of # 1/4 : 6#

Multiply both by 4

#color(green)( [1/4color(red)(xx4)]" ":" "[ color(white)(2/2)6color(red)(xx4)" "] )#

#color(green)( [color(white)(2/2)1" "]" ":" "[ color(white)(2/2)24" "] )#

#" "1:24"#