Converting 4.0138 to a Fraction
Step-by-step explanation of how to convert 4.0138 to a fraction
Result
4.0138 =
20069
5000
Mixed number:
4
69
5000
Step 1: Identify the number of decimal places
The decimal 4.0138 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.0138 × 10000 = 40138
Step 3: Write as a fraction
4.0138 =
40138
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40138 and 10000.
GCD(40138, 10000) = 2
Divide both the numerator and denominator by the GCD:
40138
10000
=
40138 ÷ 2
10000 ÷ 2
=
20069
5000
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