Final answer:
To convert the recurring fraction 0.4 to a fraction in its simplest form, we can write the decimal as an equation and solve for the fraction. The answer is 2/5.
Step-by-step explanation:
To write the recurring fraction 0.4 as a fraction in its simplest form, we can express the decimal as a fraction. Let x be the fraction we are looking for. We write the decimal 0.4 as the equation 0.4 = x.
Multiplying both sides of the equation by 10, we get 4 = 10x. Dividing both sides by 10, we obtain x = 4/10, which simplifies to x = 2/5.
Therefore, the recurring fraction 0.4 can be expressed as the simplest fraction 2/5.