Converting 75.6304 to a Fraction
Step-by-step explanation of how to convert 75.6304 to a fraction

Result

75.6304 =
47269
625
Mixed number:
75
394
625

Step 1: Identify the number of decimal places

The decimal 75.6304 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

75.6304 × 10000 = 756304

Step 3: Write as a fraction

75.6304 =

756304
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 756304 and 10000.

GCD(756304, 10000) = 16

Divide both the numerator and denominator by the GCD:

756304
10000

=

756304 ÷ 16
10000 ÷ 16

=

47269
625
Related Conversions
Other decimal to fraction conversions you might find useful