Converting 0.5296 to a Fraction
Step-by-step explanation of how to convert 0.5296 to a fraction

Result

0.5296 =
331
625

Step 1: Identify the number of decimal places

The decimal 0.5296 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.5296 × 10000 = 5296

Step 3: Write as a fraction

0.5296 =

5296
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5296 and 10000.

GCD(5296, 10000) = 16

Divide both the numerator and denominator by the GCD:

5296
10000

=

5296 ÷ 16
10000 ÷ 16

=

331
625
Related Conversions
Other decimal to fraction conversions you might find useful