Converting 0.578625 to a Fraction
Step-by-step explanation of how to convert 0.578625 to a fraction

Result

0.578625 =
4629
8000

Step 1: Identify the number of decimal places

The decimal 0.578625 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.578625 × 1000000 = 578625

Step 3: Write as a fraction

0.578625 =

578625
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 578625 and 1000000.

GCD(578625, 1000000) = 125

Divide both the numerator and denominator by the GCD:

578625
1000000

=

578625 ÷ 125
1000000 ÷ 125

=

4629
8000
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