Convert Mixed Number 1 4/16: Step-by-Step Solution

To solve this problem, we will convert the mixed number $1\frac{4}{16}$ into a decimal.

• Step 1: Simplify the Fraction
  The fraction $\frac{4}{16}$ can be simplified by finding the greatest common divisor (GCD) of 4 and 16, which is 4. Thus, we divide both the numerator and the denominator by 4: $\frac{4}{16} = \frac{4 \div 4}{16 \div 4} = \frac{1}{4}$
• Step 2: Convert the Simplified Fraction to a Decimal
  Now, we convert the fraction $\frac{1}{4}$ to a decimal. We know: $\frac{1}{4} = 0.25$
• Step 3: Add the Decimal to the Whole Number
  The original problem includes a whole number part 1. Thus, we add: $1 + 0.25 = 1.25$

Therefore, the mixed number $1\frac{4}{16}$ converts to the decimal $\mathbf{1.25}$.