9/16:3/64

To solve the expression \( \frac{9}{16} : \frac{3}{64} \), we can rewrite the division of fractions as multiplication by the reciprocal:

\[ \frac{9}{16} \div \frac{3}{64} = \frac{9}{16} \times \frac{64}{3} \]

Now, we can multiply the fractions:

\[ \frac{9 \times 64}{16 \times 3} \]

Calculating the numerator:

\[ 9 \times 64 = 576 \]

Calculating the denominator:

\[ 16 \times 3 = 48 \]

Now, we have:

\[ \frac{576}{48} \]

We can simplify this fraction by dividing both the numerator and the denominator by 48:

\[ \frac{576 \div 48}{48 \div 48} = \frac{12}{1} = 12 \]

Therefore, \( \frac{9}{16} : \frac{3}{64} = 12 \).