Final answer:
The fractional equivalent of the repeating decimal 0.4 is 4/9. So the correct option is C.
Step-by-step explanation:
The fractional equivalent of the repeating decimal 0.4 is 4/9.
To convert the repeating decimal 0.4 to a fraction, we can set up an equation where x is equal to 0.4:
x = 0.4
Multiplying both sides of the equation by 10, we get:
10x = 4
Subtracting the original equation from the new equation, we get:
10x - x = 4 - 0.4
9x = 3.6
Dividing both sides of the equation by 9, we find:
x = 4/9
Learn more about Converting repeating decimals to fractions