Converting 0.21824 to a Fraction
Step-by-step explanation of how to convert 0.21824 to a fraction
Result
0.21824 =
682
3125
Step 1: Identify the number of decimal places
The decimal 0.21824 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.21824 × 100000 = 21824
Step 3: Write as a fraction
0.21824 =
21824
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21824 and 100000.
GCD(21824, 100000) = 32
Divide both the numerator and denominator by the GCD:
21824
100000
=
21824 ÷ 32
100000 ÷ 32
=
682
3125
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions