Converting 40.876 to a Fraction
Step-by-step explanation of how to convert 40.876 to a fraction
Result
40.876 =
10219
250
Mixed number:
40
219
250
Step 1: Identify the number of decimal places
The decimal 40.876 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
40.876 × 1000 = 40876
Step 3: Write as a fraction
40.876 =
40876
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40876 and 1000.
GCD(40876, 1000) = 4
Divide both the numerator and denominator by the GCD:
40876
1000
=
40876 ÷ 4
1000 ÷ 4
=
10219
250
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions