Converting 8.1458 to a Fraction
Step-by-step explanation of how to convert 8.1458 to a fraction

Result

8.1458 =
40729
5000
Mixed number:
8
729
5000

Step 1: Identify the number of decimal places

The decimal 8.1458 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.1458 × 10000 = 81458

Step 3: Write as a fraction

8.1458 =

81458
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 81458 and 10000.

GCD(81458, 10000) = 2

Divide both the numerator and denominator by the GCD:

81458
10000

=

81458 ÷ 2
10000 ÷ 2

=

40729
5000
Related Conversions
Other decimal to fraction conversions you might find useful