Converting 0.4136 to a Fraction
Step-by-step explanation of how to convert 0.4136 to a fraction

Result

0.4136 =
517
1250

Step 1: Identify the number of decimal places

The decimal 0.4136 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.4136 × 10000 = 4136

Step 3: Write as a fraction

0.4136 =

4136
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4136 and 10000.

GCD(4136, 10000) = 8

Divide both the numerator and denominator by the GCD:

4136
10000

=

4136 ÷ 8
10000 ÷ 8

=

517
1250
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