Converting 45.4304 to a Fraction
Step-by-step explanation of how to convert 45.4304 to a fraction

Result

45.4304 =
28394
625
Mixed number:
45
269
625

Step 1: Identify the number of decimal places

The decimal 45.4304 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

45.4304 × 10000 = 454304

Step 3: Write as a fraction

45.4304 =

454304
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 454304 and 10000.

GCD(454304, 10000) = 16

Divide both the numerator and denominator by the GCD:

454304
10000

=

454304 ÷ 16
10000 ÷ 16

=

28394
625
Related Conversions
Other decimal to fraction conversions you might find useful