Converting 6.4215 to a Fraction
Step-by-step explanation of how to convert 6.4215 to a fraction

Result

6.4215 =
12843
2000
Mixed number:
6
843
2000

Step 1: Identify the number of decimal places

The decimal 6.4215 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.4215 × 10000 = 64215

Step 3: Write as a fraction

6.4215 =

64215
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 64215 and 10000.

GCD(64215, 10000) = 5

Divide both the numerator and denominator by the GCD:

64215
10000

=

64215 ÷ 5
10000 ÷ 5

=

12843
2000
Related Conversions
Other decimal to fraction conversions you might find useful