Converting 0.30896 to a Fraction
Step-by-step explanation of how to convert 0.30896 to a fraction

Result

0.30896 =
1931
6250

Step 1: Identify the number of decimal places

The decimal 0.30896 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.30896 × 100000 = 30896

Step 3: Write as a fraction

0.30896 =

30896
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30896 and 100000.

GCD(30896, 100000) = 16

Divide both the numerator and denominator by the GCD:

30896
100000

=

30896 ÷ 16
100000 ÷ 16

=

1931
6250
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