Converting 0.789314 to a Fraction
Step-by-step explanation of how to convert 0.789314 to a fraction

Result

0.789314 =
394657
500000

Step 1: Identify the number of decimal places

The decimal 0.789314 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.789314 × 1000000 = 789314

Step 3: Write as a fraction

0.789314 =

789314
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 789314 and 1000000.

GCD(789314, 1000000) = 2

Divide both the numerator and denominator by the GCD:

789314
1000000

=

789314 ÷ 2
1000000 ÷ 2

=

394657
500000
Related Conversions
Other decimal to fraction conversions you might find useful