Express the recurring decimal 0.004 as a fraction.

The recurring decimal 0.004 can be expressed as the fraction 1/250. Given that: Decimal number, 0.004 To express the recurring decimal 0.004 as a fraction, follow these steps: Let x = 0.004. Multiply both sides of the equation by 1000 to eliminate the decimal point: 1000x = 4 × 1000 1000x = 4 Now, solve for x: x = 4 / 1000 Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4: x = 1 / 250 So, the recurring decimal 0.004 can be expressed as the fraction 1/250. Learn more about Fraction here: brainly.com/question/10354322 #SPJ3

The recurring decimal 0.004 can be expressed as a fraction by setting up an equation, multiplying by a power of 10 to shift the decimal, subtracting, and solving for x. The resulting fraction is 4/999. To express the recurring decimal 0.004 as a fraction, we can follow a straightforward method: Set the recurring decimal equal to a variable (e.g., x = 0.004004004...). Multiply x by a power of 10 to shift the decimal point so that a new equation lines up with the original decimal (in this case, multiplying by 1000 gives 1000x = 4.004004...). Subtract the original equation from the new equation to eliminate the recurring part (1000x - x = 4). Solve for x (which gives x = 4/999 because 1000x - x = 999x). Therefore, the decimal 0.004 expressed as a fraction is 4/999.