Question

Write the following decimals as fractions in simplest form

Answer 1

`\boxed{-0.76=-(19)/(25)}`

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=-(76)/(100)`

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

`-(76)/(100)=-(2.2.19)/(2.2.25) \\ \\ By \ reducing: \\ \\ -(2.2.19)/(2.2.25) = -(19)/(25) \\ \\ \\ Finally: \\ \\ \boxed{-0.76=-(19)/(25)}`