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1/2×2¾ find the rational numbersplease answer fastly its very important |
| Answer» <html><body><p><strong>Answer: Given rationals numbers are, 1/2 & 3/4</strong></p><p><strong></strong></p><p><strong>We know that, Between two given rational numbers, there <a href="https://interviewquestions.tuteehub.com/tag/exists-979838" style="font-weight:bold;" target="_blank" title="Click to know more about EXISTS">EXISTS</a> infinite number of rational numbers. We are required to find out 3 such.</strong></p><p><strong></strong></p><p><strong>Changing to equivalent fractions.</strong></p><p><strong></strong></p><p><strong>1/2 = 12/24</strong></p><p><strong></strong></p><p><strong>3/4 = 18/24</strong></p><p><strong></strong></p><p><strong>We changed the rationals to have equal denominators.</strong></p><p><strong></strong></p><p><strong>So now rational numbers between 12/24 & 18/24 would be rational numbers between 1/2, 3/4 ( Because they are equivalent fractions 1/2 = 12/24, 3/4 = 18/24)</strong></p><p><strong></strong></p><p><strong>Now, Rationals between 1/2 & 3/4 are</strong></p><p><strong></strong></p><p><strong>13/24</strong></p><p><strong>14/24</strong></p><p><strong>15/24</strong></p><p><strong>16/24</strong></p><p><strong>17/24</strong></p><p><strong>We can also find many such rational numbers. And If we wish to find exactly equidistant rational numbers,</strong></p><p><strong></strong></p><p><strong>Then We can use the <a href="https://interviewquestions.tuteehub.com/tag/arithmetic-15417" style="font-weight:bold;" target="_blank" title="Click to know more about ARITHMETIC">ARITHMETIC</a> progression.</strong></p><p><strong></strong></p><p><strong>Between two rationals a & b ( b > a), we need to find n equidistant rationals then the distance between <a href="https://interviewquestions.tuteehub.com/tag/consecutive-929616" style="font-weight:bold;" target="_blank" title="Click to know more about CONSECUTIVE">CONSECUTIVE</a> rationals is</strong></p><p><strong></strong></p><p><strong>d = b - a / n +1</strong></p><p><strong></strong></p><p><strong>After <a href="https://interviewquestions.tuteehub.com/tag/finding-989059" style="font-weight:bold;" target="_blank" title="Click to know more about FINDING">FINDING</a> the distance,</strong></p><p><strong></strong></p><p><strong></strong></p><p></p></body></html> | |