Final answer:
To convert the recurring decimal 0.004 into a fraction, you can set up an equation by writing 0.004 = x and solve for x to find the fraction.
Step-by-step explanation:
To convert the recurring decimal 0.004 into a fraction, we need to understand the concept of converting decimals to fractions. We can do this by setting up an equation where the decimal is equal to a fraction, and then solving for the fraction. In this case, we can set up the equation 0.004 = x, where x is the fraction we're trying to find. To eliminate the decimal, we can multiply both sides of the equation by 1000, which gives us 4 = 1000x. Now, we can divide both sides of the equation by 1000 to solve for x, which gives us x = 4/1000. Simplifying the fraction gives us x = 1/250. Therefore, the recurring decimal 0.004 can be written as the fraction 1/250.