How do you determine whether the ratios are equivalent: 12/5 and 36/15?
1 Answer
Dec 29, 2016
Explanation:
#"The ratio " 12/5# is in#color(blue)"simplest form".# That is no other factor except 1 will divide into them.
#"If we now simplify the ratio " 36/15# 36 and 15 both have a
#color(blue)"common factor"# of 3 which we can divide them by.
#rArr36/15=(36÷3)/(15÷3)=12/5# Usually written using
#color(blue)"cancelling"# as follows.
#36/15=cancel(36)^(12)/cancel(15)^5=12/5#
#"Since " 36/15" reduces to the same value " 12/5" then the ratios are equivalent"#