Converting 20.4174 to a Fraction
Step-by-step explanation of how to convert 20.4174 to a fraction

Result

20.4174 =
102087
5000
Mixed number:
20
2087
5000

Step 1: Identify the number of decimal places

The decimal 20.4174 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

20.4174 × 10000 = 204174

Step 3: Write as a fraction

20.4174 =

204174
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 204174 and 10000.

GCD(204174, 10000) = 2

Divide both the numerator and denominator by the GCD:

204174
10000

=

204174 ÷ 2
10000 ÷ 2

=

102087
5000
Related Conversions
Other decimal to fraction conversions you might find useful