Answer:
[tex]\boxed{-0.76=-\frac{19}{25}}[/tex]
Step-by-step explanation:
In this exercise, we have the following decimal:
[tex]-0.76[/tex]
So this is a real number. To write the following decimal as fraction in simplest form, we must follow the following steps:
1. Determine the place value of the last number in the decimal so this becomes your denominator.
2. Make the decimal number the denominator.
3. Reduce.
Therefore, we have:
[tex]-0.76=-\frac{76}{100}[/tex]
But this fraction can be written as the product of factors both in the numerator and the denominator as follows:
[tex]-\frac{76}{100}=-\frac{2.2.19}{2.2.25} \\ \\ By \ reducing: \\ \\ -\frac{2.2.19}{2.2.25} = -\frac{19}{25} \\ \\ \\ Finally: \\ \\ \boxed{-0.76=-\frac{19}{25}}[/tex]
