Question

unit rates with fractions (7.rp.a.1)
a box contains \\(\frac{2}{3}\\) kg of pasta and serves 4 people.
how much pasta does each person get?

Explanation:

Step1: Understand the problem

We need to find the amount of pasta per person. This is a division problem where we divide the total amount of pasta ($\frac{2}{3}$ kg) by the number of people (4).

Step2: Set up the division

The formula is $\frac{\text{Total Pasta}}{\text{Number of People}}=\frac{\frac{2}{3}}{4}$

Step3: Divide the fractions

Dividing by a number is the same as multiplying by its reciprocal. So, $\frac{\frac{2}{3}}{4}=\frac{2}{3}\times\frac{1}{4}$

Step4: Multiply the fractions

Multiply the numerators: $2\times1 = 2$
Multiply the denominators: $3\times4=12$
Simplify the fraction: $\frac{2}{12}=\frac{1}{6}$

Answer:

$\frac{1}{6}$ kg