Converting 4.138 to a Fraction
Step-by-step explanation of how to convert 4.138 to a fraction
Result
4.138 =
2069
500
Mixed number:
4
69
500
Step 1: Identify the number of decimal places
The decimal 4.138 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
4.138 × 1000 = 4138
Step 3: Write as a fraction
4.138 =
4138
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4138 and 1000.
GCD(4138, 1000) = 2
Divide both the numerator and denominator by the GCD:
4138
1000
=
4138 ÷ 2
1000 ÷ 2
=
2069
500
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