To express \( \frac{45}{7} \) as a mixed number (a whole number and a fraction), we can divide 45 by 7.
- Divide: \( 45 \div 7 = 6 \) (since \( 7 \times 6 = 42 \))
- Remainder: Subtract \( 42 \) from \( 45 \): \( 45 - 42 = 3 \)
So, \( 45 \div 7 = 6 \) remainder \( 3 \). Therefore, we can write:
\[ \frac{45}{7} = 6 \frac{3}{7} \]
Here, the whole number is \( 6 \) and the fraction is \( \frac{3}{7} \).
Thus, \[ \frac{45}{7} = 6 \frac{3}{7} \text{ or } \frac{45}{7} = \frac{6 \cdot 7 + 3}{7} = \frac{45}{7} \]