Converting 0.646744 to a Fraction
Step-by-step explanation of how to convert 0.646744 to a fraction

Result

0.646744 =
80843
125000

Step 1: Identify the number of decimal places

The decimal 0.646744 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.646744 × 1000000 = 646744

Step 3: Write as a fraction

0.646744 =

646744
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 646744 and 1000000.

GCD(646744, 1000000) = 8

Divide both the numerator and denominator by the GCD:

646744
1000000

=

646744 ÷ 8
1000000 ÷ 8

=

80843
125000
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