Question

evaluate the expression $z - x$ when $x = 1\frac{2}{3}$ and $z = 5$. write in simplest form.

Explanation:

Step1: Convert mixed number to improper fraction

$1\frac{2}{3} = \frac{1\times3 + 2}{3} = \frac{5}{3}$

Step2: Substitute values into expression

$z - x = 5 - \frac{5}{3}$

Step3: Convert integer to fraction for subtraction

$5 = \frac{15}{3}$, so $\frac{15}{3} - \frac{5}{3}$

Step4: Subtract numerators

$\frac{15 - 5}{3} = \frac{10}{3}$

Step5: Convert to mixed number (simplest form)

$\frac{10}{3} = 3\frac{1}{3}$

Answer:

$3\frac{1}{3}$ or $\frac{10}{3}$