Converting 3.6125 to a Fraction
Step-by-step explanation of how to convert 3.6125 to a fraction

Result

3.6125 =
289
80
Mixed number:
3
49
80

Step 1: Identify the number of decimal places

The decimal 3.6125 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.6125 × 10000 = 36125

Step 3: Write as a fraction

3.6125 =

36125
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 36125 and 10000.

GCD(36125, 10000) = 125

Divide both the numerator and denominator by the GCD:

36125
10000

=

36125 ÷ 125
10000 ÷ 125

=

289
80
Related Conversions
Other decimal to fraction conversions you might find useful