Converting 0.3645 to a Fraction
Step-by-step explanation of how to convert 0.3645 to a fraction
Result
0.3645 =
729
2000
Step 1: Identify the number of decimal places
The decimal 0.3645 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.3645 × 10000 = 3645
Step 3: Write as a fraction
0.3645 =
3645
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3645 and 10000.
GCD(3645, 10000) = 5
Divide both the numerator and denominator by the GCD:
3645
10000
=
3645 ÷ 5
10000 ÷ 5
=
729
2000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions