Converting 0.08192 to a Fraction
Step-by-step explanation of how to convert 0.08192 to a fraction

Result

0.08192 =
256
3125

Step 1: Identify the number of decimal places

The decimal 0.08192 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.08192 × 100000 = 8192

Step 3: Write as a fraction

0.08192 =

8192
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8192 and 100000.

GCD(8192, 100000) = 32

Divide both the numerator and denominator by the GCD:

8192
100000

=

8192 ÷ 32
100000 ÷ 32

=

256
3125
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