Understanding the Decimal
To convert the decimal 0.005 into a fraction, we need to understand the place value of the digits involved.
Step 1: Identify the Place Value
- The decimal number 0.005 has three digits after the decimal point.
- The last digit, 5, is in the thousandths place.
Step 2: Write as a Fraction
- Since 0.005 represents five thousandths, we can write it as:
- 0.005 = 5/1000
Step 3: Simplify the Fraction
- To simplify the fraction 5/1000, we need to find the greatest common divisor (GCD) of 5 and 1000.
- The GCD of 5 and 1000 is 5.
Step 4: Divide Both Numerator and Denominator
- Now, divide both the numerator and the denominator by their GCD:
- (5 ÷ 5) / (1000 ÷ 5) = 1/200
Final Result
- Therefore, the simplest form of the fraction for the decimal 0.005 is:
- 1/200
Conclusion
- In summary, converting 0.005 to a fraction involves identifying the place value, writing it as a fraction, and then simplifying it to get the final result of 1/200.