Converting 21.458 to a Fraction
Step-by-step explanation of how to convert 21.458 to a fraction

Result

21.458 =
10729
500
Mixed number:
21
229
500

Step 1: Identify the number of decimal places

The decimal 21.458 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.458 × 1000 = 21458

Step 3: Write as a fraction

21.458 =

21458
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21458 and 1000.

GCD(21458, 1000) = 2

Divide both the numerator and denominator by the GCD:

21458
1000

=

21458 ÷ 2
1000 ÷ 2

=

10729
500
Related Conversions
Other decimal to fraction conversions you might find useful