To solve the expression \( \frac{3}{8} \div 6 \), you can follow these steps:
1. Convert the division into multiplication by taking the reciprocal of the divisor. So, \( \frac{3}{8} \div 6 \) becomes \( \frac{3}{8} \times \frac{1}{6} \).
2. Multiply the numerators together and the denominators together:
\( 3 \times 1 = 3 \) (numerator)
\( 8 \times 6 = 48 \) (denominator)
3. Simplify the fraction if possible. In this case, \( 3 \) and \( 48 \) don't have any common factors other than 1, so the fraction remains \( \frac{3}{48} \).
4. Reduce the fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, both 3 and 48 can be divided by 3:
\( \frac{3}{48} = \frac{1}{16} \)
So, \( \frac{3}{8} \div 6 = \frac{1}{16} \).
