To determine which decimal is equivalent to the fraction [tex]\(\frac{2}{5}\)[/tex], let's go through the process of converting the fraction to a decimal.
1. Understand that [tex]\(\frac{2}{5}\)[/tex] means dividing 2 by 5.
2. Performing this division, we need to see how many times 5 goes into 2.
a) Since 5 does not go into 2, we consider it as 2.0 (add a decimal point and zeros for precision).
b) Now, considering the division of 20 (effectively 2.0):
- 5 goes into 20 exactly 4 times.
3. The division results in a quotient of 0.4.
Therefore, the decimal equivalent of [tex]\(\frac{2}{5}\)[/tex] is 0.4.
Looking at the provided options:
- 0.2
- 0.25
- 0.4
- 0.45
The correct decimal representation of [tex]\(\frac{2}{5}\)[/tex] is [tex]\(\boxed{0.4}\)[/tex].
