Converting 0.381416 to a Fraction
Step-by-step explanation of how to convert 0.381416 to a fraction

Result

0.381416 =
47677
125000

Step 1: Identify the number of decimal places

The decimal 0.381416 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.381416 × 1000000 = 381416

Step 3: Write as a fraction

0.381416 =

381416
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 381416 and 1000000.

GCD(381416, 1000000) = 8

Divide both the numerator and denominator by the GCD:

381416
1000000

=

381416 ÷ 8
1000000 ÷ 8

=

47677
125000
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