The fastest path to solving the query uses the direct rules of multiplying fractions. In elementary arithmetic, finding a fractional portion "of" another quantity means you multiply the two quantities together. Finding "half of" anything means multiplying that quantity by 1/2.
Setting up the expression produces:
(1/2) × (1/3)
Multiplying fractions does not require finding a common denominator. You multiply the top numbers straight across and do the same for the bottom numbers:
1. Multiply the numerators: 1 × 1 = 1
- Multiply the denominators: 2 × 3 = 6
Combining the results yields 1/6. Because 1 and 6 share no common factors other than 1, no further fraction simplification is possible. The solution is structurally complete.
