How do you write \( 4 \frac{5}{18} \) as a decimal?

To convert the mixed number \( 4 \frac{5}{18} \) into a decimal, we can follow these steps: 1. **Convert the mixed number to an improper fraction**: \[ 4 \frac{5}{18} = 4 + \frac{5}{18} = \frac{4 \times 18 + 5}{18} = \frac{72 + 5}{18} = \frac{77}{18} \] 2. **Divide the numerator by the denominator**: We need to perform the division \( 77 \div 18 \). - First, we can see how many times 18 goes into 77. It goes 4 times because \( 18 \times 4 = 72 \). - Subtract \( 72 \) from \( 77 \): \[ 77 - 72 = 5 \] - So, we have: \[ 77 \div 18 = 4 \quad \text{(whole number part)} \] - Now, we need to convert the remainder into a decimal. We take the remainder \( 5 \) and divide it by \( 18 \): \[ 5 \div 18 \approx 0.2777\ldots \] 3. **Combine the whole number and the decimal**: Now we can combine the whole number part and the decimal part: \[ 4 + 0.2777\ldots = 4.2777\ldots \] Thus, the decimal representation of \( 4 \frac{5}{18} \) is approximately: \[ \boxed{4.2777\ldots} \] This can also be rounded to \( 4.28 \) if needed for practical purposes.