Converting 0.289726 to a Fraction
Step-by-step explanation of how to convert 0.289726 to a fraction

Result

0.289726 =
144863
500000

Step 1: Identify the number of decimal places

The decimal 0.289726 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.289726 × 1000000 = 289726

Step 3: Write as a fraction

0.289726 =

289726
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 289726 and 1000000.

GCD(289726, 1000000) = 2

Divide both the numerator and denominator by the GCD:

289726
1000000

=

289726 ÷ 2
1000000 ÷ 2

=

144863
500000
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