Converting 4.135 to a Fraction
Step-by-step explanation of how to convert 4.135 to a fraction
Result
4.135 =
827
200
Mixed number:
4
27
200
Step 1: Identify the number of decimal places
The decimal 4.135 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
4.135 × 1000 = 4135
Step 3: Write as a fraction
4.135 =
4135
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4135 and 1000.
GCD(4135, 1000) = 5
Divide both the numerator and denominator by the GCD:
4135
1000
=
4135 ÷ 5
1000 ÷ 5
=
827
200
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