Converting 21.5724 to a Fraction
Step-by-step explanation of how to convert 21.5724 to a fraction

Result

21.5724 =
53931
2500
Mixed number:
21
1431
2500

Step 1: Identify the number of decimal places

The decimal 21.5724 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.5724 × 10000 = 215724

Step 3: Write as a fraction

21.5724 =

215724
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 215724 and 10000.

GCD(215724, 10000) = 4

Divide both the numerator and denominator by the GCD:

215724
10000

=

215724 ÷ 4
10000 ÷ 4

=

53931
2500
Related Conversions
Other decimal to fraction conversions you might find useful