Converting 0.838314 to a Fraction
Step-by-step explanation of how to convert 0.838314 to a fraction

Result

0.838314 =
419157
500000

Step 1: Identify the number of decimal places

The decimal 0.838314 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.838314 × 1000000 = 838314

Step 3: Write as a fraction

0.838314 =

838314
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 838314 and 1000000.

GCD(838314, 1000000) = 2

Divide both the numerator and denominator by the GCD:

838314
1000000

=

838314 ÷ 2
1000000 ÷ 2

=

419157
500000
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