Converting 0.289764 to a Fraction
Step-by-step explanation of how to convert 0.289764 to a fraction

Result

0.289764 =
72441
250000

Step 1: Identify the number of decimal places

The decimal 0.289764 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.289764 × 1000000 = 289764

Step 3: Write as a fraction

0.289764 =

289764
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 289764 and 1000000.

GCD(289764, 1000000) = 4

Divide both the numerator and denominator by the GCD:

289764
1000000

=

289764 ÷ 4
1000000 ÷ 4

=

72441
250000
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