Respuesta :
[tex]\left(-2\frac{1}{4}\right)\times\left(-2\frac{1}{3}\right)=(-1)(-1)\left(\dfrac{9}{4}\cdot\dfrac{7}{3}\right)\\\\=\dfrac{3\cdot 3\cdot 7}{3\cdot 4}=\dfrac{21}{4}\\\\=5\frac{1}{4}[/tex]

Answer:
[tex]5\frac{1}{4}}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{4} \cdot -2 \frac{1}{3}[/tex]
Convert mixed fraction into improper fraction
[tex]-2\frac{1}{4}=-\frac{9}{4}[/tex]
[tex]-2\frac{1}{3}=-\frac{7}{3}[/tex]
[tex]-\frac{9}{4} \cdot -\frac{7}{3}}[/tex]
Simplify the fraction. cancel out 9 and 3
[tex]-\frac{3}{4} \cdot -\frac{7}{1}}[/tex]
Now multiply numerator with numerator and denominator with denominator. negative times negative becomes positive.
[tex]\frac{21}{4}}[/tex]
[tex]5\frac{1}{4}}[/tex]