Converting 78.8304 to a Fraction
Step-by-step explanation of how to convert 78.8304 to a fraction

Result

78.8304 =
49269
625
Mixed number:
78
519
625

Step 1: Identify the number of decimal places

The decimal 78.8304 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

78.8304 × 10000 = 788304

Step 3: Write as a fraction

78.8304 =

788304
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 788304 and 10000.

GCD(788304, 10000) = 16

Divide both the numerator and denominator by the GCD:

788304
10000

=

788304 ÷ 16
10000 ÷ 16

=

49269
625
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