Converting 0.724678 to a Fraction
Step-by-step explanation of how to convert 0.724678 to a fraction

Result

0.724678 =
362339
500000

Step 1: Identify the number of decimal places

The decimal 0.724678 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.724678 × 1000000 = 724678

Step 3: Write as a fraction

0.724678 =

724678
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 724678 and 1000000.

GCD(724678, 1000000) = 2

Divide both the numerator and denominator by the GCD:

724678
1000000

=

724678 ÷ 2
1000000 ÷ 2

=

362339
500000
Related Conversions
Other decimal to fraction conversions you might find useful