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Pick up the rational numbers from the following numbers. 
(6)/(7),(-1)/(2),0,(1)/(0),(100)/(0)

Pick up the rational numbers from the following numbers.\newline67,12,0,10,1000 \frac{6}{7}, \frac{-1}{2}, 0, \frac{1}{0}, \frac{100}{0}

Full solution

Q. Pick up the rational numbers from the following numbers.\newline67,12,0,10,1000 \frac{6}{7}, \frac{-1}{2}, 0, \frac{1}{0}, \frac{100}{0}
  1. Define rational number: Define a rational number. A rational number is a number that can be expressed as the quotient or fraction pq\frac{p}{q} of two integers, where pp is the numerator, qq is the denominator, and q0q \neq 0.
  2. Evaluate first number: Evaluate the first number (6)/(7)(6)/(7).\newlineSince 66 and 77 are both integers and 77 is not equal to zero, (6)/(7)(6)/(7) is a rational number.
  3. Evaluate second number: Evaluate the second number (1)/(2)(-1)/(2).\newlineSince 1-1 and 22 are both integers and 22 is not equal to zero, (1)/(2)(-1)/(2) is a rational number.
  4. Evaluate third number: Evaluate the third number 00.\newlineZero can be expressed as 01\frac{0}{1}, where 00 is an integer and 11 is a non-zero integer. Therefore, 00 is a rational number.
  5. Evaluate fourth number: Evaluate the fourth number 10\frac{1}{0}.\newlineSince the denominator is zero, 10\frac{1}{0} is undefined and not a rational number.
  6. Evaluate fifth number: Evaluate the fifth number 1000\frac{100}{0}. Similarly, since the denominator is zero, 1000\frac{100}{0} is undefined and not a rational number.

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