Converting 5.78064 to a Fraction
Step-by-step explanation of how to convert 5.78064 to a fraction

Result

5.78064 =
36129
6250
Mixed number:
5
4879
6250

Step 1: Identify the number of decimal places

The decimal 5.78064 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

5.78064 × 100000 = 578064

Step 3: Write as a fraction

5.78064 =

578064
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 578064 and 100000.

GCD(578064, 100000) = 16

Divide both the numerator and denominator by the GCD:

578064
100000

=

578064 ÷ 16
100000 ÷ 16

=

36129
6250
Related Conversions
Other decimal to fraction conversions you might find useful