Explanation
We must find the expression equivalent to:
[tex]\frac{-2\frac{1}{4}}{-\frac{2}{3}}.[/tex]
(1) The numerator is a mixed fraction, we can write it as a simple fraction:
[tex]\frac{-2\frac{1}{4}}{-\frac{2}{3}}=\frac{-2-\frac{1}{4}}{-\frac{2}{3}}=\frac{-\frac{8}{4}-\frac{1}{4}}{-\frac{2}{3}}=\frac{(-\frac{9}{4})}{(-\frac{2}{3})}.[/tex]
(2) Finally, we can rewrite the quotient between numerator and denominator using the symbol ÷, we get:
[tex]\frac{-2\frac{1}{4}}{-\frac{2}{3}}=\frac{(-\frac{9}{4})}{(-\frac{2}{3})}=(-\frac{9}{4})\div(-\frac{2}{3}).[/tex]Answer[tex](-\frac{9}{4})\div(-\frac{2}{3})[/tex]
