Converting 40.084 to a Fraction
Step-by-step explanation of how to convert 40.084 to a fraction
Result
40.084 =
10021
250
Mixed number:
40
21
250
Step 1: Identify the number of decimal places
The decimal 40.084 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
40.084 × 1000 = 40084
Step 3: Write as a fraction
40.084 =
40084
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40084 and 1000.
GCD(40084, 1000) = 4
Divide both the numerator and denominator by the GCD:
40084
1000
=
40084 ÷ 4
1000 ÷ 4
=
10021
250
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions