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Which list contains ONLY rational numbers equal to ?

Class 7Rational NumbersRational Numbers
  • A
  • B
  • C
  • D

Step-by-Step Solution

Multiply top and bottom by 2, −3 and 4: and all reduce to . In the second list is positive, so that list fails. The third list changes only the denominators — multiplying the bottom without multiplying the top gives a DIFFERENT number every time.
Answer: D)

Key idea: Recognising rationals

If you can write a number as **integer over non-zero integer**, it is rational. So:

- All integers are rational: 5 = 5/1, 0 = 0/1, −9 = −9/1.
- All fractions with integer numerator and denominator are rational: 3/4, −2/7, 11/3.
- Any decimal that terminates or repeats is rational: 0.25 = 1/4, 0.333… = 1/3.

Numbers that cannot be written as p/q (like √2 or π) are NOT rational — they're irrational. You'll meet those in Class 9.

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More Class 7 Rational Numbers practice

Do 4/-7 and -12/21 name the same rational number?Which statement about the rational number -4/5 is CORRECT?Which rational number must be added to 7/-15 so that the sum is 0?Arrange -4/5, -2/3 and -7/10 in DESCENDING order (greatest first).Which of these four rational numbers is the SMALLEST?