Converting 45.638 to a Fraction
Step-by-step explanation of how to convert 45.638 to a fraction

Result

45.638 =
22819
500
Mixed number:
45
319
500

Step 1: Identify the number of decimal places

The decimal 45.638 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

45.638 × 1000 = 45638

Step 3: Write as a fraction

45.638 =

45638
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 45638 and 1000.

GCD(45638, 1000) = 2

Divide both the numerator and denominator by the GCD:

45638
1000

=

45638 ÷ 2
1000 ÷ 2

=

22819
500
Related Conversions
Other decimal to fraction conversions you might find useful