Respuesta :

Answer:

[tex]\sf{-3\displaystyle\frac{1}{2} }[/tex]

Solution:

  • First, we need to flop the second fraction over.
  • Then, we need to multiply the first fraction times the second fraction.
  • In order to multiply fractions, we need to multiply the numerator of the first fraction times the numerator of the second fraction:
  • [tex]\displaystyle\frac{1}{2} *-\frac{7}{1}[/tex]
  • [tex]-\displaystyle\frac{7}{2}[/tex]
  • Now, let's convert the improper fraction into a mixed number.
  • First, how many times does 2 go into 7? (evenly)
  • The answer is 3.
  • Now, multiply 3 times 2. We get 6.
  • Subtract 7-6. We get 1.
  • The denominator stays the same.
  • Therefore, the answer is
  • [tex]-3\displaystyle\frac{1}{2}[/tex]

Hope it helps.

Do comment if you have any query.

Step-by-step explanation:

[tex] = \frac{1}{2} \div ( - \frac { 1}{7}) \\ [/tex]

Move the ( - ) sign forward

[tex] = - \frac{1}{2} \div \frac{1}{7} \\ [/tex]

[tex] = - \frac{1}{2} \times \frac{7}{1} \\ [/tex]

[tex] = - \frac{7}{2} \\ [/tex]