Converting 18.7142 to a Fraction
Step-by-step explanation of how to convert 18.7142 to a fraction

Result

18.7142 =
93571
5000
Mixed number:
18
3571
5000

Step 1: Identify the number of decimal places

The decimal 18.7142 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

18.7142 × 10000 = 187142

Step 3: Write as a fraction

18.7142 =

187142
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 187142 and 10000.

GCD(187142, 10000) = 2

Divide both the numerator and denominator by the GCD:

187142
10000

=

187142 ÷ 2
10000 ÷ 2

=

93571
5000
Related Conversions
Other decimal to fraction conversions you might find useful