Question

excellence #1: div
show all work & circle your final answe
directions: use the algorithm to find th
improper fraction as a mixed number.
a. $\frac{2}{3} div \frac{1}{4}$

Explanation:

Step1: Recall fraction division rule

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. 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 we get $\frac{8}{3}$.

Step3: Convert improper fraction to mixed number

Divide 8 by 3. 3 times 2 is 6, and $8 - 6 = 2$. So $\frac{8}{3}=2\frac{2}{3}$.

Answer:

$\boxed{2\frac{2}{3}}$