6. Which fraction is equivalent to \( \frac{1}{3} \) ? (A) \( \frac{3}{8} \) (B) \( \frac{1}{6} \) (C) \( \frac{2}{6} \) (D) \( \frac{3}{4} \)
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Bonus Knowledge
Did you know that fractions can represent the same value even if they look different? For example, \( \frac{1}{3} \) is equivalent to \( \frac{2}{6} \) because if you multiply both the numerator and the denominator of \( \frac{1}{3} \) by 2, you get \( \frac{2}{6} \)! This concept is known as equivalence in fractions and is fundamental in understanding how to manipulate them. When solving fraction problems, it’s common to mistakenly overlook the concept of scaling both the numerator and denominator. A common mistake could be thinking \( \frac{1}{6} \) is equivalent simply because the numerator is smaller. Remember, it’s all about comparing the portions of the whole! Always check by cross multiplying to ensure two fractions are equivalent.