What is 0.002 as a fraction?

To convert the decimal 0.002 into a fraction, we can follow a straightforward process. The key is to understand the place value of the decimal and how that translates into a fraction.

Breaking Down the Decimal

The number 0.002 can be read as two thousandths. This means that it is located in the thousandths place, which is the third digit to the right of the decimal point. To express this as a fraction, we can write:

• 0.002 = 2/1000

Simplifying the Fraction

Now that we have the fraction 2/1000, the next step is to simplify it. To do this, we need to find the greatest common divisor (GCD) of the numerator (2) and the denominator (1000).

The GCD of 2 and 1000 is 2. We can divide both the numerator and the denominator by their GCD:

• Numerator: 2 ÷ 2 = 1
• Denominator: 1000 ÷ 2 = 500

Thus, the simplified fraction is:

• 1/500

Final Result

In conclusion, the decimal 0.002 can be expressed as the fraction 1/500. This fraction is in its simplest form, meaning it cannot be reduced any further. Understanding how to convert decimals to fractions is a valuable skill, especially in mathematics, as it allows for easier manipulation and comparison of numbers.