Question

c. $4 \div \frac{2}{3}$
$4 \div \frac{2}{3} = 4 \times \frac{3}{2}$ step 1
$4 \times \frac{3}{2} = \frac{4 \times 3}{2} = \frac{12}{2}$ step 2

Explanation:

Step1: Convert division to multiplication

To divide by a fraction, we multiply by its reciprocal. So, \(4\div\frac{2}{3}=4\times\frac{3}{2}\)

Step2: Multiply the numbers

Calculate \(4\times\frac{3}{2}\). We can write \(4\) as \(\frac{4}{1}\), then multiply the numerators and denominators: \(\frac{4\times3}{1\times2}=\frac{12}{2}\)

Step3: Simplify the fraction

Simplify \(\frac{12}{2}\) to get \(6\)

Answer:

\(6\)