Converting 40.0408 to a Fraction
Step-by-step explanation of how to convert 40.0408 to a fraction
Result
40.0408 =
50051
1250
Mixed number:
40
51
1250
Step 1: Identify the number of decimal places
The decimal 40.0408 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.0408 × 10000 = 400408
Step 3: Write as a fraction
40.0408 =
400408
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 400408 and 10000.
GCD(400408, 10000) = 8
Divide both the numerator and denominator by the GCD:
400408
10000
=
400408 ÷ 8
10000 ÷ 8
=
50051
1250
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