Determine the Common Denominator Find equivalent fractions with a common denominator for \( \frac{2}{8} \) and \( \frac{1}{2} \). \( \frac{2}{16} \) and \( \frac{4}{16} \) \( \frac{16}{8} \) and \( \frac{8}{2} \) \( \frac{4}{16} \) and \( \frac{8}{16} \) \( \frac{2}{16} \) and \( \frac{1}{16} \)
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The Deep Dive
To find equivalent fractions with a common denominator for \( \frac{2}{8} \) and \( \frac{1}{2} \), we can start by converting \( \frac{1}{2} \) into a fraction with a denominator of 8. Since \( \frac{1}{2} \) is equal to \( \frac{4}{8} \) (because \( 1 \times 4 = 4 \) and \( 2 \times 4 = 8 \)), we can then have \( \frac{2}{8} \) and \( \frac{4}{8} \) as the equivalent fractions with a common denominator. Now, getting those math tools out can be fun! Remember, when you're looking for a common denominator, it's often helpful to find the least common multiple (LCM) of the denominators. In this case, the LCM of 8 and 2 is 8. Once you’ve got a common denominator, just adjust the numerators accordingly. Trust me; it’s worth the practice!