Respuesta :
Yes, they are
Because with fractions, you can divide. The rules for multiplying or dividing with negative numbers are that negative * or / negative = positive and that one negative * or / a positive = negative. These fractions here have one negative and one positive, making it so that when you divide, it will be negative.
Hello.
[tex]\mathrm{\displaystyle\frac{7}{-8} \:and\:\frac{-7}{8} \:are\:equal\:}[/tex]
If we divide a positive number by a negative number, we get a negative number.
Let's try.
We can turn both of these fractions into decimals and see if they are equivalent.
The simplest way to turn a fraction into a decimal is divide the numerator by the denominator.
[tex]\mathrm{\displaystyle\frac{7}{-8} = -0.875}[/tex]
Now, let's convert the second fraction into a decimal:
[tex]\mathrm{\displaystyle\frac{-7}{8} =-0.875}[/tex]
[tex]\mathrm{-0.875=-0.875}[/tex]
Therefore, the two fractions are equivalent (equal).
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]