In a certain area, there are 35 houses to 55 businesses. How do you write the ratio of houses to businesses as a fraction in simplest form. Then explain its meaning?

1 Answer
Alan P.
Nov 4, 2016

There are #7/11# times as many houses as businesses.

Explanation:

#"houses":"businesses" = 35:55#

This ratio can also be written in fractional form as:
#color(white)("XXX")35/55#
which can be simplified (by dividing each of the numerator and denominator by #5#)
#color(white)("XXX")=7/11#

If you divided the businesses up into (5 groups of) #11# and then evenly assigned houses among those groups, each group would have #7# houses.

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