How do you convert 3 1/2 ft to inches?

1 Answer
Aug 1, 2017

See a solution process below:

Explanation:

We know: #1"ft" = 12"in"# which means:

#(12"in")/(1"ft") = 1#

We can also write #3 1/2"ft"# as #3.5"ft"#

Now multiply the #3.5"ft"# by #(12"in")/(1"ft") #

This is the same as multiplying by #1# so it will not change the value of the term but it will convert the units:

#3.5"ft" xx (12"in")/(1"ft") =>#

#3.5color(red)(cancel(color(black)("ft"))) xx (12"in")/(1color(red)(cancel(color(black)("ft")))) =>#

#(3.5 xx 12"in")/1 =>#

#(42"in")/1 =>#

#42"in"#