Change the mixed number into an improper fraction. \( \begin{array}{lll}\text { 35) } 7 \frac{3}{7} \\ \text { A) } \frac{49}{7} & \text { B) } \frac{52}{7} & \text { C) } \frac{52}{3}\end{array} \)

To convert the mixed number \( 7 \frac{3}{7} \) into an improper fraction, you first multiply the whole number (7) by the denominator (7), which gives you \( 7 \times 7 = 49 \). Then, add the numerator (3) to that result: \( 49 + 3 = 52 \). Your improper fraction is therefore \( \frac{52}{7} \). So the correct answer is: **B) \( \frac{52}{7} \)**. When working with mixed numbers, a common mistake is forgetting to multiply the whole number by the denominator before adding the numerator. Always remember that the key is to combine these components properly to ensure an accurate conversion!