Question

Evaluate the expression. Write fractions in the simplest form.

${\left(-\frac{2}{3}\right)}^2-\frac{3}{4}\left(2\frac{1}{3}\right)$

Answer 1

Evaluate the expression:

${\left(-\frac{2}{3}\right)}^2-\frac{3}{4}\left(2\frac{1}{3}\right)$

$=+\frac{4}{9}-\frac{3}{4}\left(\frac{7}{3}\right)$

$=+\frac{4}{9}-\frac{7}{4}$

$=+\frac{4\times 4-7\times 9}{36}$

$=\frac{16-63}{36}$

$=\frac{-47}{36}$

Hence, the final answer is $\frac{-47}{36}$.