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#.
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

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#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 3

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} ).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
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.

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.

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.

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.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7