1.

Express each of the following decimal numbers in p/q form 1•62 bar in expiration​

Answer» <html><body><p><strong>Answer:</strong></p><p><a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>. 0.555555...</p><p></p><p>Let x be = 0.555555... --------(1)</p><p></p><p>Multiplying both sides by 10 since 1 number is repeating.</p><p></p><p>10 × x = 10 × 0.555555...</p><p></p><p>10x = 5.555555... --------(2)</p><p></p><p>Subtract <a href="https://interviewquestions.tuteehub.com/tag/equation-974081" style="font-weight:bold;" target="_blank" title="Click to know more about EQUATION">EQUATION</a> (1) from equation (2)</p><p></p><p>10x - x = 5.5555555... - 0.555555...</p><p></p><p>9x = 5</p><p></p><p>x = 5/9</p><p></p><p>p/q form of 0.555555... is 5/9</p><p></p><p>2. 0.3636363636...</p><p></p><p>Let x be = 0.36363636... --------(1)</p><p></p><p>Multiplying both sides by <a href="https://interviewquestions.tuteehub.com/tag/100-263808" style="font-weight:bold;" target="_blank" title="Click to know more about 100">100</a> since 2 numbers are repeating.</p><p></p><p>100 × x = 100 × 0.36363636...</p><p></p><p>100x = 36.36363636... --------(2)</p><p></p><p>Subtract equation (1) from equation (2)</p><p></p><p>100x - x = 36.36363636... - 0.36363636...</p><p></p><p>99x = 36</p><p></p><p>x = 36/99</p><p></p><p>x = 12/33</p><p></p><p>x = 4/11</p><p></p><p>p/q form of 0.36363636... is 4/11</p><p></p><p>3. 3.888888...</p><p></p><p>Let x be = 3.888888... --------(1)</p><p></p><p>Multiplying both sides by 10 since 1 number is repeating.</p><p></p><p>10 × x = 10 × 3.888888...</p><p></p><p>10x = 38.888888... --------(2)</p><p></p><p><a href="https://interviewquestions.tuteehub.com/tag/subract-2283728" style="font-weight:bold;" target="_blank" title="Click to know more about SUBRACT">SUBRACT</a> equation (1) from equation (2)</p><p></p><p>10x - x = 38.88888... - 3.88888...</p><p></p><p>9x = 35</p><p></p><p>x = 35/9</p><p></p><p>p/q form of 3.88888... is 35/9</p><p><strong>Step-by-step explanation:</strong></p><p></p></body></html>


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