Converting 0.576125 to a Fraction
Step-by-step explanation of how to convert 0.576125 to a fraction

Result

0.576125 =
4609
8000

Step 1: Identify the number of decimal places

The decimal 0.576125 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.576125 × 1000000 = 576125

Step 3: Write as a fraction

0.576125 =

576125
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 576125 and 1000000.

GCD(576125, 1000000) = 125

Divide both the numerator and denominator by the GCD:

576125
1000000

=

576125 ÷ 125
1000000 ÷ 125

=

4609
8000
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