Converting 23.3536 to a Fraction
Step-by-step explanation of how to convert 23.3536 to a fraction

Result

23.3536 =
14596
625
Mixed number:
23
221
625

Step 1: Identify the number of decimal places

The decimal 23.3536 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

23.3536 × 10000 = 233536

Step 3: Write as a fraction

23.3536 =

233536
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 233536 and 10000.

GCD(233536, 10000) = 16

Divide both the numerator and denominator by the GCD:

233536
10000

=

233536 ÷ 16
10000 ÷ 16

=

14596
625
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