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Which of these four rational numbers is the SMALLEST?

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

Step-by-Step Solution

LCM(8, 16, 4, 3) = 48: . The most negative numerator is −36, so is the smallest. looks smallest because 11 and 16 are the biggest numbers on the page — but size of the digits is not size of the value.
Answer: C)

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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