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How do you determine whether the ratios are equivalent: #5/6#; #15/18#?

Answer 1

Kennedy Adams

Use:

#a/b = c/d" " <=> " "ad = bc#

If #b != 0# and #d != 0# then:

#a/b = c/d" " <=> " "ad = bc#

In our example, (with #a=5#, #b=6#, #c=15#, #d=18#) we find:

#5*18 = 90 = 6*15#

Therefore:

#5/6 = 15/18#

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Answer 2

Kennedy Adams

To determine if the ratios are equivalent, you need to simplify each ratio to its simplest form by dividing both the numerator and the denominator by their greatest common divisor. In this case, for 5/6, the greatest common divisor is 1. For 15/18, the greatest common divisor is 3. Simplifying both ratios, we get 5/6 and 5/6, which are the same. Therefore, the ratios 5/6 and 15/18 are equivalent.

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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.