How do you determine whether the ratios are equivalent: 12/5 and 36/15?

Answer 1

Riley Anderson

#"ratios are equivalent"#

#"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"#

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Answer 2

Emery Allen

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.