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Mathematics

State whether the following statements are true (T) or false (F):

(i) The fraction 23\dfrac{2}{3} lies between 2 and 3

(ii) To find an equivalent fraction to a given fraction, we may add or subtract the same (non-zero) number to its numerator and denominator.

Fractions

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Answer

(i) False.

Reason: 23\dfrac{2}{3} is a proper fraction (numerator < denominator), so it lies between 0 and 1, not between 2 and 3.

(ii) False.

Reason: To find an equivalent fraction, we must multiply or divide the numerator and denominator by the same non-zero number, not add or subtract.

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