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Assertion (A): is the same number as . Reason (R): To change a mixed number into an improper fraction, multiply the whole number by the denominator and add the numerator. Which is correct?

Class 6FractionsFractions
  • AA is true but R is false
  • BBoth A and R are true, and R correctly explains A
  • CA is false but R is true
  • DBoth A and R are false

Step-by-Step Solution

R states the rule correctly. Applying it: over the same denominator 5, giving . So A is true and R is exactly the reason why. A student who writes or here has lost the whole part.
Answer: B) Both A and R are true, and R correctly explains A

Key idea: Equivalent fractions

If you cut a pizza into 2 pieces and take 1, you have 1/2. If you cut the same pizza into 4 pieces and take 2, you have 2/4 — the same amount. So 1/2 = 2/4. To find an equivalent fraction, multiply (or divide) both the numerator and the denominator by the same non-zero whole number. **Always do the same thing to both** — change only one and you change the value.

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