Question

find three rational numbers between -2/3 and 1/4​

Answer 1

-5/12 ; 0 ; 2/12

Answer:

• LCM of denominators 3 and 4 is 12
• -2/3 multiply both Numerator and denominator with 4 so that it becomes a fraction where denominators is 12 = -2/3 ×4 /4 is -8/12
• Then the second one, 1/4 multiply it with 3 so that it becomes a fraction where denominator is 12 = 1/4 × 3/3 is 3/12
• Now any 3 number you can pick within -8/12 and 3/12
• All number between -8/12 and 3/12 are -7/12, -6/12,-5/12,-4/12,-3/12,-2/12,-1/12,0,1/12,2/12 ( you can pick any 3 number)
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Answer 2

$\frac{ - 2}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{1}{4}$

$\frac{ - 2}{3} \times \frac{4}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{1}{4} \times \frac{3}{3}$

$\frac{ - 8}{12} < ( \frac{ - 7}{12} < \frac{ - 6}{12} < \frac{ - 5}{12} < \frac{ - 4}{12} ) < \frac{3}{12}$

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