Converting 20.2824 to a Fraction
Step-by-step explanation of how to convert 20.2824 to a fraction

Result

20.2824 =
25353
1250
Mixed number:
20
353
1250

Step 1: Identify the number of decimal places

The decimal 20.2824 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

20.2824 × 10000 = 202824

Step 3: Write as a fraction

20.2824 =

202824
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 202824 and 10000.

GCD(202824, 10000) = 8

Divide both the numerator and denominator by the GCD:

202824
10000

=

202824 ÷ 8
10000 ÷ 8

=

25353
1250
Related Conversions
Other decimal to fraction conversions you might find useful