Practice30Create account

Assertion (A): is greater than . Reason (R): For two negative rationals with the same numerator, the one with the larger denominator is greater. Which is correct?

Class 7Rational NumbersRational Numbers
  • AA is false but R is true
  • BBoth A and R are true and R explains A
  • CA is true but R is false
  • DBoth A and R are false

Step-by-Step Solution

and , so , making A false. But R is a correct general statement, so it is true.
Answer: A) A is false but R is true

Key idea: Comparing rationals

**Step 1**: write both in standard form (positive denominators).
**Step 2**: bring to a common denominator (the LCM of the two denominators).
**Step 3**: compare the numerators with their signs.

Example: compare −3/4 and −5/6. Common denominator = 12. −3/4 = −9/12; −5/6 = −10/12. With negatives, the smaller numerator is the smaller value. −10 < −9, so −5/6 < −3/4.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Rational Numbers practice questions

More Class 7 Rational Numbers practice

Sameer writes 9/0 and says it is a rational number because 9 and 0 are both integers. Is…Express the mixed number −23/4 as a rational number in the form p/q.A rational number p/q turns out to be NEGATIVE. What must be true about p and q?How many of these four numbers are NEGATIVE rational numbers? -3/-8, 4/-9, -7/2, 0/5Ravi simplifies -24/-30 and writes the answer as -4/-5. What is wrong with his answer?