Converting 0.41416 to a Fraction
Step-by-step explanation of how to convert 0.41416 to a fraction

Result

0.41416 =
5177
12500

Step 1: Identify the number of decimal places

The decimal 0.41416 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.41416 × 100000 = 41416

Step 3: Write as a fraction

0.41416 =

41416
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 41416 and 100000.

GCD(41416, 100000) = 8

Divide both the numerator and denominator by the GCD:

41416
100000

=

41416 ÷ 8
100000 ÷ 8

=

5177
12500
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