To rename fractions, we use the property of multiplication known as the "multiplicative identity" or "multiplying by one." This property allows us to multiply the numerator and denominator of a fraction by the same non-zero number, effectively creating an equivalent fraction. For example, multiplying both parts of the fraction ( \frac{1}{2} ) by 3 gives ( \frac{3}{6} ), which is an equivalent fraction. This process maintains the value of the fraction while changing its appearance.
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