\( 4.1 \frac{1}{4} \) of \( \frac{3}{16} \)

To calculate \( 4\frac{1}{4} \) of \( \frac{3}{16} \), follow these steps: ### Step 1: Convert the Mixed Number to an Improper Fraction The mixed number \( 4\frac{1}{4} \) can be converted to an improper fraction as follows: \[ 4\frac{1}{4} = \left(4 \times 4\right) + 1 = 16 + 1 = 17 \] \[ \text{So, } 4\frac{1}{4} = \frac{17}{4} \] ### Step 2: Multiply the Fractions Now, multiply \( \frac{17}{4} \) by \( \frac{3}{16} \): \[ \frac{17}{4} \times \frac{3}{16} = \frac{17 \times 3}{4 \times 16} = \frac{51}{64} \] ### Step 3: Simplify (If Necessary) The fraction \( \frac{51}{64} \) is already in its simplest form since 51 and 64 have no common divisors other than 1. ### Final Answer \[ 4\frac{1}{4} \text{ of } \frac{3}{16} = \frac{51}{64} \approx 0.796875 \]