Let's solve the equation step by step.
First, we can convert (0.8) to a fraction to make it easier to work with.
[
0.8 = \frac{8}{10} = \frac{4}{5}
]
Next, we can convert (0.32) to a fraction as well:
[
0.32 = \frac{32}{100} = \frac{8}{25}
]
Now we can rewrite the original equation, substituting the fractions:
[
\left(-\frac{12}{25}\right) + \frac{4}{5} = \frac{8}{25}
]
To combine (-\frac{12}{25}) and (\frac{4}{5}), we need a common denominator. The least common multiple of 25 and 5 is 25:
[
\frac{4}{5} = \frac{4 \cdot 5}{5 \cdot 5} = \frac{20}{25}
]
Now we rewrite the equation:
[
-\frac{12}{25} + \frac{20}{25} = \frac{8}{25}
]
Now we can combine the fractions on the left side:
[
\frac{-12 + 20}{25} = \frac{8}{25}
]
Simplifying the left side gives:
[
\frac{8}{25} = \frac{8}{25}
]
Thus, the equation is true.
Therefore, the original statement ((-12/25) + 0.8 = 0.32) is indeed correct.
