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Does #54/8# have an equivalent fraction with a denominator or #9#? If so, what is it?

Answer 1

No. This fraction cannot be changed to an equivalent one with denominator of #9#.

The original denominator is #8=2^3#, it is impossible to change the denominator to #9=3^2#. The only oerations allowed are multiplying or dividing by the same number, but you would have to reduce the fraction by #8# (there are no #2's# in prime factorization of #9#), but the numerator is not a multiple of #8#.

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Answer 2

Roman Alvarez

It does not have an equivalent version (with a denominator of 9) and an integer numerator.

Occasionally you may find a teacher looking for (or accepting) fractions with numerators (or denominators) which are themselves fractions.

In this case, we would have the required ratios: #color(white)("XXX")54/8=x/9#

#color(white)("XXX")rArr 8x=54xx9=486#

#color(white)("XXX")rArr x=486/8=243/4 #

and #54/8 = (243/4)/9 = 60.75/9#

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Answer 3

Aurora Arias

Yes, ( \frac{54}{8} ) has an equivalent fraction with a denominator of 9. It can be expressed as ( \frac{27}{4} ), which simplifies to ( \frac{27}{4} \times \frac{9}{9} = \frac{243}{36} ), and further simplifies to ( \frac{27}{4} ).

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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.