Converting 0.256565 to a Fraction
Step-by-step explanation of how to convert 0.256565 to a fraction

Result

0.256565 =
51313
200000

Step 1: Identify the number of decimal places

The decimal 0.256565 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.256565 × 1000000 = 256565

Step 3: Write as a fraction

0.256565 =

256565
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 256565 and 1000000.

GCD(256565, 1000000) = 5

Divide both the numerator and denominator by the GCD:

256565
1000000

=

256565 ÷ 5
1000000 ÷ 5

=

51313
200000
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