Converting 0.189532 to a Fraction
Step-by-step explanation of how to convert 0.189532 to a fraction

Result

0.189532 =
47383
250000

Step 1: Identify the number of decimal places

The decimal 0.189532 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.189532 × 1000000 = 189532

Step 3: Write as a fraction

0.189532 =

189532
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 189532 and 1000000.

GCD(189532, 1000000) = 4

Divide both the numerator and denominator by the GCD:

189532
1000000

=

189532 ÷ 4
1000000 ÷ 4

=

47383
250000
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