Converting 0.728125 to a Fraction
Step-by-step explanation of how to convert 0.728125 to a fraction

Result

0.728125 =
233
320

Step 1: Identify the number of decimal places

The decimal 0.728125 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.728125 × 1000000 = 728125

Step 3: Write as a fraction

0.728125 =

728125
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 728125 and 1000000.

GCD(728125, 1000000) = 3125

Divide both the numerator and denominator by the GCD:

728125
1000000

=

728125 ÷ 3125
1000000 ÷ 3125

=

233
320
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