Question

sharon is making latkes, a kind of potato pancake. she needs \\(\frac{3}{4}\\) lb of potatoes for each batch. sharon has 4 lb of potatoes. \\(\text{(a)}\\) sharon can make 5 full batches. \\(\text{(b)}\\) sharon can make another \\(\frac{1}{3}\\) of a batch. \\(\text{(c)}\\) complete the division equation to show how many batches sharon can make in all. \\(4 \div \frac{3}{4} = \square\\)

Explanation:

Step1: Rewrite division as multiplication

Dividing by a fraction equals multiplying by its reciprocal:
$4 \div \frac{3}{4} = 4 \times \frac{4}{3}$

Step2: Calculate the product

Multiply the whole number by the numerator:
$4 \times \frac{4}{3} = \frac{16}{3}$

Step3: Convert to mixed number (optional)

Rewrite the improper fraction:
$\frac{16}{3} = 5\frac{1}{3}$

Answer:

$\frac{16}{3}$ or $5\frac{1}{3}$