What is the unit rate of #(70 mi)/(5 hr)#?

1 Answer
Jul 23, 2016

14 m/h

Explanation:

The word 'unit' means 1. So when counting in units you are counting the 1's.

Unit rate means that for this case we need to change the 5 into 1

With fractions (for multiply or divide) what you do to the bottom you do to the top,

Divide top and bottom by 5

#(70-:5)/(5-:5)=14/1#

So the 'unit' rate is #14/1 ("miles")/("hour") -> "14 m/h"#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(white)(.)#
#color(white)(.)#

#color(blue)("Further note about dividing top and bottom by 5")#

#70-:5 = 70color(magenta)(xx1/5)#

#1/(5-:5) = 1/(5xx1/5) =1/5 color(green)(xx5/1_#
'............................................
Putting it all together:

#70xxcolor(magenta)(1/5)xx1/5xxcolor(green)(5/1#

#=70/5xx(color(green)(5))/(color(magenta)(5))#

So dividing top and bottom by 5 is the same as multiplying by
1 which does not change the inherent value, just the way it looks