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Kavya bought kg of tomatoes and used kg while cooking. How many kilograms are left?

Class 7Rational NumbersRational Numbers
  • A
  • B
  • C−1
  • D

Step-by-Step Solution

LCM(4, 6) = 12: and . So kg. Subtracting numerators and denominators straight across gives , which is impossible for leftovers, and converting to by multiplying by 3 instead of 2 gives .
Answer: D)

Key idea: Rationals on the number line

Every rational number has a place on the number line. Negative rationals on the left of 0, positive on the right. Between any two rationals, you can always find another rational (in fact, infinitely many) — this is called **density**.

Example: between 1/3 and 1/2, the average (1/3 + 1/2)/2 = 5/12 sits in the middle. Between 1/3 and 5/12 there's another rational, and so on, forever.

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