Converting 11.5264 to a Fraction
Step-by-step explanation of how to convert 11.5264 to a fraction

Result

11.5264 =
7204
625
Mixed number:
11
329
625

Step 1: Identify the number of decimal places

The decimal 11.5264 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.5264 × 10000 = 115264

Step 3: Write as a fraction

11.5264 =

115264
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 115264 and 10000.

GCD(115264, 10000) = 16

Divide both the numerator and denominator by the GCD:

115264
10000

=

115264 ÷ 16
10000 ÷ 16

=

7204
625
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