Converting 21.52 to a Fraction
Step-by-step explanation of how to convert 21.52 to a fraction

Result

21.52 =
538
25
Mixed number:
21
13
25

Step 1: Identify the number of decimal places

The decimal 21.52 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

21.52 × 100 = 2152

Step 3: Write as a fraction

21.52 =

2152
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2152 and 100.

GCD(2152, 100) = 4

Divide both the numerator and denominator by the GCD:

2152
100

=

2152 ÷ 4
100 ÷ 4

=

538
25
Related Conversions
Other decimal to fraction conversions you might find useful