Converting 0.727125 to a Fraction
Step-by-step explanation of how to convert 0.727125 to a fraction

Result

0.727125 =
5817
8000

Step 1: Identify the number of decimal places

The decimal 0.727125 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.727125 × 1000000 = 727125

Step 3: Write as a fraction

0.727125 =

727125
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 727125 and 1000000.

GCD(727125, 1000000) = 125

Divide both the numerator and denominator by the GCD:

727125
1000000

=

727125 ÷ 125
1000000 ÷ 125

=

5817
8000
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