Converting 8.6125 to a Fraction
Step-by-step explanation of how to convert 8.6125 to a fraction

Result

8.6125 =
689
80
Mixed number:
8
49
80

Step 1: Identify the number of decimal places

The decimal 8.6125 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.6125 × 10000 = 86125

Step 3: Write as a fraction

8.6125 =

86125
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 86125 and 10000.

GCD(86125, 10000) = 125

Divide both the numerator and denominator by the GCD:

86125
10000

=

86125 ÷ 125
10000 ÷ 125

=

689
80
Related Conversions
Other decimal to fraction conversions you might find useful