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How do you use multiplying by 1 to find an expression equivalent to #20/11# with a denominator of 11x?

Answer 1

To maintain equivalency you must multiply by #color(red)(x/x) = 1#

First, we need to use our understanding that:

#color(red)(a/a) = 1# where #color(red)(a)# can be any term besides #0# (you cannot divide by #0#).

Next to transform the denominator from #11# to #11x# we must multiply #11# by #x#. However, to keep equivalency we need to multiply this fraction by 1 or by, in this case:

#color(red)(x/x)#

#20/11 xx color(red)(x/x) = (20 xx color(red)(x))/(11 xx color(red)(x)) = (20color(red)(x))/(11color(red)(x))#

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Answer 2

Abigail Allen

To find an expression equivalent to 20/11 with a denominator of 11x, you can multiply both the numerator and denominator by 1 in the form of x/x. This gives you (20/11) * (x/x) = (20x)/(11x).

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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.