Question

b. $\frac{1}{3}z=\frac{4}{5}$
$\frac{div \frac{1}{3} div \frac{1}{3}}{z=}$
$\frac{4}{5} \times \frac{3}{1} = \frac{12}{5} = 2\frac{2}{5}$

Explanation:

Step1: Isolate z by dividing $\frac{1}{3}$

Divide both sides of the equation by $\frac{1}{3}$, which is equivalent to multiplying by its reciprocal 3.
$$z = \frac{4}{5} \div \frac{1}{3} = \frac{4}{5} \times 3$$

Step2: Calculate the product

Multiply the numerator by 3 and simplify to mixed number form.
$$z = \frac{12}{5} = 2\frac{2}{5}$$

Answer:

$z = \frac{12}{5}$ or $z = 2\frac{2}{5}$