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To reduce \(\frac{12}{15}\) to its simplest form, by which number should both the numerator and denominator be divided?

Answer and explanation

Correct answer: 3

The HCF of 12 and 15 is 3. Dividing both terms by 3 gives \(\frac{12\div3}{15\div3}=\frac{4}{5}\), which is in simplest form. Neither 2 nor 5 divides both numbers exactly, and 12 is not a divisor of 15. Exam tip: To reduce a fraction, divide its numerator and denominator by their HCF.

Related tags

Rational NumbersClass 9HcfFraction SimplificationNumber SystemsMathematicsClass 9 Mcq

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