Converting 0.289132 to a Fraction
Step-by-step explanation of how to convert 0.289132 to a fraction

Result

0.289132 =
72283
250000

Step 1: Identify the number of decimal places

The decimal 0.289132 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.289132 × 1000000 = 289132

Step 3: Write as a fraction

0.289132 =

289132
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 289132 and 1000000.

GCD(289132, 1000000) = 4

Divide both the numerator and denominator by the GCD:

289132
1000000

=

289132 ÷ 4
1000000 ÷ 4

=

72283
250000
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