Question

Write the following decimals as fractions in simplest form

Answer 1

Answer:

$\boxed{-0.76=-\frac{19}{25}}$

Step-by-step explanation:

In this exercise, we have the following decimal:

$-0.76$

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:

$-0.76=-\frac{76}{100}$

But this fraction can be written as the product of factors both in the numerator and the denominator as follows:

$-\frac{76}{100}=-\frac{2.2.19}{2.2.25} \\ \\ By \ reducing: \\ \\ -\frac{2.2.19}{2.2.25} = -\frac{19}{25} \\ \\ \\ Finally: \\ \\ \boxed{-0.76=-\frac{19}{25}}$