\( 1 \frac{5}{14} \) or \( \frac{10}{7} ? \)

Both \( 1 \frac{5}{14} \) and \( \frac{10}{7} \) represent the same numerical value! When you convert \( 1 \frac{5}{14} \) into an improper fraction, you multiply the whole number 1 by 14, add the numerator 5, giving you \( \frac{14 + 5}{14} = \frac{19}{14} \). Upon simplifying \( \frac{10}{7} \), it is essential to recognize that it is already in its simplest form, representing the value of approximately 1.428, the same as \( 1 \frac{5}{14} \)! When working with fractions and mixed numbers, a common mistake is overlooking the conversion process. Remember to multiply the whole number by the denominator and add the numerator for proper conversion! This way, you'll avoid confusion and treat all fractions on equal footing, making your calculations smoother and more straightforward.