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A tray of brownies is cut into 5 pieces, but the pieces are NOT all the same size. Rahul takes 2 of them. Can we say he took of the tray?

Class 6FractionsFractions
  • AYes — 2 pieces out of 5 pieces is always
  • BYes, but only if he takes the two largest pieces
  • CNo, because 5 is an odd number
  • DNo, because a fraction can only describe EQUAL parts of a whole

Step-by-Step Solution

A fraction means the whole was divided into EQUAL parts. With uneven pieces, 2 out of 5 pieces could be far more or far less than of the tray. Counting pieces without first checking that they are equal is the trap here; the number 5 being odd has nothing to do with it.
Answer: D) No, because a fraction can only describe EQUAL parts of a whole

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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