Converting 4.096 to a Fraction
Step-by-step explanation of how to convert 4.096 to a fraction

Result

4.096 =
512
125
Mixed number:
4
12
125

Step 1: Identify the number of decimal places

The decimal 4.096 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.096 × 1000 = 4096

Step 3: Write as a fraction

4.096 =

4096
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4096 and 1000.

GCD(4096, 1000) = 8

Divide both the numerator and denominator by the GCD:

4096
1000

=

4096 ÷ 8
1000 ÷ 8

=

512
125
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