Answer :

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]

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