Converting 0.6436 to a Fraction
Step-by-step explanation of how to convert 0.6436 to a fraction

Result

0.6436 =
1609
2500

Step 1: Identify the number of decimal places

The decimal 0.6436 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.6436 × 10000 = 6436

Step 3: Write as a fraction

0.6436 =

6436
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 6436 and 10000.

GCD(6436, 10000) = 4

Divide both the numerator and denominator by the GCD:

6436
10000

=

6436 ÷ 4
10000 ÷ 4

=

1609
2500
Related Conversions
Other decimal to fraction conversions you might find useful