To determine which decimal is equivalent to the fraction [tex]\(\frac{4}{5}\)[/tex], we follow these steps:
1. Understand the fraction: The fraction [tex]\(\frac{4}{5}\)[/tex] means 4 parts out of 5 equal parts.
2. Convert the fraction to a decimal: Dividing the numerator by the denominator (4 divided by 5) will give us the decimal equivalent.
3. Perform the division:
[tex]\[
4 \div 5 = 0.8
\][/tex]
4. Match with given options: The result from our division is 0.8. We look at the provided options and see which matches our result.
The given options are:
- 0.75
- 0.8
- 0.45
- 0.6
The decimal equivalent of [tex]\(\frac{4}{5}\)[/tex] is 0.8.
Therefore, the correct answer is:
[tex]\[
\boxed{0.8}
\][/tex]
