Respuesta :

Answer:

  • -1 11/15

Step-by-step explanation:

−2 1/6 divided by 1 1/4:

  • -2 1/6 ÷ 1 1/4 =
  • - 13/6 ÷ 5/4 =
  • - 13/6 × 4/5 =
  • - 26/15 =
  • -1 11/15

1) to divide that mixed number we'll need to turn it into an improper fraction:

[tex] - 2\frac{1}{6} = - ( \frac{6 \times 2 + 1}{6} ) = - \frac{13}{6} \\ 1 \frac{1}{4} = \frac{4 \times 1 + 1}{4} = \frac{5}{4} [/tex]

2) now let's divide it, reciprocating 1 1/4 and multiplying both fractions one by another:

[tex] - \frac{13}{6} \times \frac{4}{5} = - \frac{52}{30} = - \frac{26}{15} [/tex]

3) Hence the answer is -26/15