Converting 6.43664 to a Fraction
Step-by-step explanation of how to convert 6.43664 to a fraction

Result

6.43664 =
40229
6250
Mixed number:
6
2729
6250

Step 1: Identify the number of decimal places

The decimal 6.43664 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

6.43664 × 100000 = 643664

Step 3: Write as a fraction

6.43664 =

643664
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 643664 and 100000.

GCD(643664, 100000) = 16

Divide both the numerator and denominator by the GCD:

643664
100000

=

643664 ÷ 16
100000 ÷ 16

=

40229
6250
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