Converting 2.0408 to a Fraction
Step-by-step explanation of how to convert 2.0408 to a fraction
Result
2.0408 =
2551
1250
Mixed number:
2
51
1250
Step 1: Identify the number of decimal places
The decimal 2.0408 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.0408 × 10000 = 20408
Step 3: Write as a fraction
2.0408 =
20408
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 20408 and 10000.
GCD(20408, 10000) = 8
Divide both the numerator and denominator by the GCD:
20408
10000
=
20408 ÷ 8
10000 ÷ 8
=
2551
1250
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