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Dennis_Churaev [7]
4 years ago
15

Is 55/22 a rational

Mathematics
1 answer:
Daniel [21]4 years ago
6 0

Answer:

The fraction \displaystyle \frac{55}{22} is indeed a rational number.

Step-by-step explanation:

A number x is rational if and only if there exist two integers p and q (where q \ne 0) such that x = \displaystyle \frac{p}{q}.

\displaystyle \frac{55}{22}, the number in question here is already written in the form of a fraction. The two integers p = 55 and q = 22 (q \ne 0) meet the requirement that \displaystyle \frac{55}{22} = \frac{p}{q}. Therefore, \displaystyle \frac{55}{22}\! is indeed a rational number.

Side note: the p and q here (q \ne 0) don't have to be unique. For example:

because \displaystyle \frac{55}{22} = \frac{5 \times 11 }{2 \times 11} = \fraac{5}{2}, both of the following pairs could satisfy \displaystyle \frac{55}{22} = \frac{p}{q}:

  • p = 55 and q = 22;
  • p = 5 and q = 2.
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