Converting 0.5218 to a Fraction
Step-by-step explanation of how to convert 0.5218 to a fraction

Result

0.5218 =
2609
5000

Step 1: Identify the number of decimal places

The decimal 0.5218 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.5218 × 10000 = 5218

Step 3: Write as a fraction

0.5218 =

5218
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5218 and 10000.

GCD(5218, 10000) = 2

Divide both the numerator and denominator by the GCD:

5218
10000

=

5218 ÷ 2
10000 ÷ 2

=

2609
5000
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