Question

a box contains \\(\frac{2}{3}\\) kg of pasta and serves 4 people. how much pasta does each person get?

Explanation:

Step1: Identify the operation

To find out how much pasta each person gets, we need to divide the total amount of pasta by the number of people. The total pasta is $\frac{2}{3}$ kg and there are 4 people. So the operation is $\frac{2}{3} \div 4$.

Step2: Perform the division

Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of 4 is $\frac{1}{4}$. So we have $\frac{2}{3} \times \frac{1}{4}$.

Step3: Multiply the fractions

Multiply the numerators: $2 \times 1 = 2$. Multiply the denominators: $3 \times 4 = 12$. So the result is $\frac{2}{12}$, which simplifies to $\frac{1}{6}$ by dividing both the numerator and denominator by 2.

Answer:

Each person gets $\frac{1}{6}$ kg of pasta.