Converting 40.5408 to a Fraction
Step-by-step explanation of how to convert 40.5408 to a fraction
Result
40.5408 =
25338
625
Mixed number:
40
338
625
Step 1: Identify the number of decimal places
The decimal 40.5408 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.5408 × 10000 = 405408
Step 3: Write as a fraction
40.5408 =
405408
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 405408 and 10000.
GCD(405408, 10000) = 16
Divide both the numerator and denominator by the GCD:
405408
10000
=
405408 ÷ 16
10000 ÷ 16
=
25338
625
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions