Converting 0.489408 to a Fraction
Step-by-step explanation of how to convert 0.489408 to a fraction

Result

0.489408 =
7647
15625

Step 1: Identify the number of decimal places

The decimal 0.489408 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.489408 × 1000000 = 489408

Step 3: Write as a fraction

0.489408 =

489408
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 489408 and 1000000.

GCD(489408, 1000000) = 64

Divide both the numerator and denominator by the GCD:

489408
1000000

=

489408 ÷ 64
1000000 ÷ 64

=

7647
15625
Related Conversions
Other decimal to fraction conversions you might find useful