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Assertion (A): is an improper fraction. Reason (R): In an improper fraction the numerator is greater than or equal to the denominator. Which is correct?

Class 6FractionsFractions
  • ABoth A and R are true, and R correctly explains A
  • BBoth A and R are true, but R does not explain A
  • CA is true but R is false
  • DA is false but R is true

Step-by-Step Solution

In the numerator equals the denominator (7 = 7), which fits the rule numerator ≥ denominator, so it is improper. R states that rule correctly and explains why A is true.
Answer: A) Both A and R are true, and R correctly explains A

Key idea: Reading a fraction

A fraction a/b says: the whole is split into b equal parts, and we are talking about a of them. So 3/8 means: divide the whole into 8 equal parts, take 3 of them. The two equal parts is what makes it a fraction — three slices of an unevenly cut cake do not give you 3/8. The denominator must always be a positive whole number. The numerator can be 0, equal to the denominator (giving 1), greater than the denominator, or less than it.

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