Respuesta :
Answer:
-7/6
Step-by-step explanation:
That'd be 21/4 divided by -9/2, or, equivalently, 21/4 times -2/9.
From this we get -42/36, which, when reduced, yields -7/6.
We must transform the mixed numbers to the improper fraction.
[tex]5\dfrac{1}{4}=\dfrac{5\cdot4+1}{4}=\dfrac{21}{4}\\\\-2\dfrac{1}{4}=-\dfrac{2\cdot4+1}{4}=\dfrac{9}{4}[/tex]
Calculate a product:
[tex]\left(5\dfrac{1}{4}\right):\left(-2\dfrac{1}{4}\right)=\dfrac{21}{4}:\left(-\dfrac{9}{4}\right)=-\dfrac{21}{\not4_1}\cdot\dfrac{\not4^1}{9}=-\dfrac{21:3}{9:3}=-\dfrac{7}{3}[/tex]