Directions: Change each improper fraction to a mixed number and each mixed number to an improper fraction. Make sure your answers are written in simplest form. \( \begin{array}{llll}\text { 6) } \frac{10}{4} & \text { 7) } 1 \frac{2}{3}\end{array} \)

To change the improper fraction \( \frac{10}{4} \) to a mixed number, you divide the numerator by the denominator. Here, \( 10 ÷ 4 = 2\) with a remainder of 2. This means you have 2 whole parts and a leftover of 2 out of 4, making it \( 2 \frac{2}{4} \). Simplifying \( \frac{2}{4} \) gives you \( \frac{1}{2} \). So, \( \frac{10}{4} = 2 \frac{1}{2} \). For the mixed number \( 1 \frac{2}{3} \), you convert it to an improper fraction by multiplying the whole number by the denominator and adding the numerator: \( (1 \times 3) + 2 = 3 + 2 = 5\). You keep the same denominator, which is 3, giving you \( \frac{5}{3} \). So, \( 1 \frac{2}{3} = \frac{5}{3} \).