To find out how much spice each person will get, we need to divide the total weight of the spices by the number of people.
The weight of the spice is \( \frac{2}{3} \) pounds, and there are 12 people.
We can express this division as:
\[ \frac{2/3}{12} \]
Dividing by a number is the same as multiplying by its reciprocal. Therefore, we can rewrite the expression:
\[ \frac{2}{3} \div 12 = \frac{2}{3} \times \frac{1}{12} \]
Now we multiply the fractions:
\[ \frac{2 \times 1}{3 \times 12} = \frac{2}{36} \]
Next, we simplify \( \frac{2}{36} \). Both the numerator and the denominator can be divided by 2:
\[ \frac{2 \div 2}{36 \div 2} = \frac{1}{18} \]
Thus, each person will get:
\[ \frac{1}{18} \text{ pounds of spice.} \]
1 answer