Converting 0.5244 to a Fraction
Step-by-step explanation of how to convert 0.5244 to a fraction

Result

0.5244 =
1311
2500

Step 1: Identify the number of decimal places

The decimal 0.5244 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.5244 × 10000 = 5244

Step 3: Write as a fraction

0.5244 =

5244
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5244 and 10000.

GCD(5244, 10000) = 4

Divide both the numerator and denominator by the GCD:

5244
10000

=

5244 ÷ 4
10000 ÷ 4

=

1311
2500
Related Conversions
Other decimal to fraction conversions you might find useful