Converting 0.4096 to a Fraction
Step-by-step explanation of how to convert 0.4096 to a fraction
Result
0.4096 =
256
625
Step 1: Identify the number of decimal places
The decimal 0.4096 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.4096 × 10000 = 4096
Step 3: Write as a fraction
0.4096 =
4096
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4096 and 10000.
GCD(4096, 10000) = 16
Divide both the numerator and denominator by the GCD:
4096
10000
=
4096 ÷ 16
10000 ÷ 16
=
256
625
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions