Find `4/5" of " 7""3/16`.

Answer

To find \( \frac{4}{5} \) of \( 7 \frac{3}{16} \), we can follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The mixed number \( 7 \frac{3}{16} \) can be converted to an improper fraction.

1. Multiply the whole number (7) by the denominator (16):
\[ 7 \times 16 = 112 \]
2. Add the numerator (3) to this result:
\[ 112 + 3 = 115 \]
3. Therefore, \( 7 \frac{3}{16} \) can be written as:
\[ \frac{115}{16} \]

### Step 2: Multiply the fraction by \( \frac{4}{5} \)
Now we need to multiply \( \frac{4}{5} \) by \( \frac{115}{16} \):
\[ \frac{4}{5} \times \frac{115}{16} \]

### Step 3: Multiply the numerators and denominators
Multiply the numerators together and the denominators together:
\[ \frac{4 \times 115}{5 \times 16} = \frac{460}{80} \]

### Step 4: Simplify the fraction
Now, we simplify \( \frac{460}{80} \):
1. Find the greatest common divisor (GCD) of 460 and 80. The GCD is 20.
2. Divide both the numerator and denominator by their GCD:
\[ \frac{460 \div 20}{80 \div 20} = \frac{23}{4} \]

### Final Answer
Thus, \( \frac{4}{5} \) of \( 7 \frac{3}{16} \) is:
\[ \frac{23}{4} \]

---