Converting 21.4842 to a Fraction
Step-by-step explanation of how to convert 21.4842 to a fraction

Result

21.4842 =
107421
5000
Mixed number:
21
2421
5000

Step 1: Identify the number of decimal places

The decimal 21.4842 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.4842 × 10000 = 214842

Step 3: Write as a fraction

21.4842 =

214842
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 214842 and 10000.

GCD(214842, 10000) = 2

Divide both the numerator and denominator by the GCD:

214842
10000

=

214842 ÷ 2
10000 ÷ 2

=

107421
5000
Related Conversions
Other decimal to fraction conversions you might find useful