Question

problem 2
\\(\frac{2}{3}\\) cups of apple chips fill \\(\frac{1}{4}\\) of a jar.
write an expression to determine how many cups fill 1 jar.
evaluate the expression.

Explanation:

Part 1: Write the expression

Step1: Identify the relationship

We know that $\frac{2}{3}$ cups fill $\frac{1}{4}$ of a jar. To find out how many cups fill 1 jar, we need to divide the number of cups by the fraction of the jar they fill. So the expression is $\frac{2}{3} \div \frac{1}{4}$.

Step1: Recall division of fractions

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

Step2: Multiply the numerators and denominators

Multiply the numerators: $2\times4 = 8$. Multiply the denominators: $3\times1 = 3$. So the result is $\frac{8}{3}$.

Answer:

$\frac{2}{3} \div \frac{1}{4}$

Part 2: Evaluate the expression