Respuesta :

The Answer is 1 11/16

Here is you're answer:

In order to solve this equation you must first change the mixed numbers into improper fractions then use KCF. (Keep, Change, Flip)

  • [tex]-4\frac{1}{2} \div -2\frac{2}{3}[/tex]
  • Change into improper fractions:
  • [tex]-4\frac{1}{2} =\frac{-9}{2}[/tex]
  • [tex]-2\frac{2}{3} = \frac{-8}{3}[/tex]
  • [tex]\frac{-9}{2} \div \frac{-8}{3}[/tex]
  • Apply KCF:
  • [tex]\frac{-9}{2} \times \frac{-3}{8}[/tex]
  • Now multiply:
  • [tex]\frac{-9}{2} \times \frac{-3}{8} = \frac{27}{16}[/tex]
  • Remember that a negative times a negative is a positive:
  • [tex]= \frac{27}{16}[/tex]
  • Change into a mixed number:
  • [tex]\frac{27}{16} = 1\frac{11}{16}[/tex]
  • [tex]= 1\frac{11}{16}[/tex]

Therefore you're answer is "1 11/16."

Hope this helps!