Converting 0.398216 to a Fraction
Step-by-step explanation of how to convert 0.398216 to a fraction

Result

0.398216 =
49777
125000

Step 1: Identify the number of decimal places

The decimal 0.398216 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.398216 × 1000000 = 398216

Step 3: Write as a fraction

0.398216 =

398216
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 398216 and 1000000.

GCD(398216, 1000000) = 8

Divide both the numerator and denominator by the GCD:

398216
1000000

=

398216 ÷ 8
1000000 ÷ 8

=

49777
125000
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