Converting 53.6304 to a Fraction
Step-by-step explanation of how to convert 53.6304 to a fraction

Result

53.6304 =
33519
625
Mixed number:
53
394
625

Step 1: Identify the number of decimal places

The decimal 53.6304 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

53.6304 × 10000 = 536304

Step 3: Write as a fraction

53.6304 =

536304
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 536304 and 10000.

GCD(536304, 10000) = 16

Divide both the numerator and denominator by the GCD:

536304
10000

=

536304 ÷ 16
10000 ÷ 16

=

33519
625
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