Is the $$0.5555$$ rational or irrational?




<div id="displayOption0" class="markdown-body editormd-html-preview"><textarea>Rational</textarea>Rational
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<div id="displayOption1" class="markdown-body editormd-html-preview"><textarea>Irrational</textarea>Irrational
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<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>Is the $$0.5555$$ rational or irrational?


</textarea>Is the <math><semantics><mrow><mn>0</mn><mi mathvariant="normal">.</mi><mn>5</mn><mn>5</mn><mn>5</mn><mn>5</mn></mrow><annotation encoding="application/x-tex">0.5555</annotation></semantics></math>0.5555 rational or irrational?
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea>Answer

$$0.5555=\frac{5555}{10000}=\frac{1111}{5000}$$

Hence, $$0.5555$$ is a rational number.
</textarea>Answer
<math><semantics><mrow><mn>0</mn><mi mathvariant="normal">.</mi><mn>5</mn><mn>5</mn><mn>5</mn><mn>5</mn><mo>=</mo><mfrac><mrow><mn>5</mn><mn>5</mn><mn>5</mn><mn>5</mn></mrow><mrow><mn>1</mn><mn>0</mn><mn>0</mn><mn>0</mn><mn>0</mn></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>1</mn><mn>1</mn><mn>1</mn><mn>1</mn></mrow><mrow><mn>5</mn><mn>0</mn><mn>0</mn><mn>0</mn></mrow></mfrac></mrow><annotation encoding="application/x-tex">0.5555=\frac{5555}{10000}=\frac{1111}{5000}</annotation></semantics></math>0.5555=​10000​​5555​​=​5000​​1111​​
Hence, <math><semantics><mrow><mn>0</mn><mi mathvariant="normal">.</mi><mn>5</mn><mn>5</mn><mn>5</mn><mn>5</mn></mrow><annotation encoding="application/x-tex">0.5555</annotation></semantics></math>0.5555 is a rational number.
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