Converting 3.6445 to a Fraction
Step-by-step explanation of how to convert 3.6445 to a fraction

Result

3.6445 =
7289
2000
Mixed number:
3
1289
2000

Step 1: Identify the number of decimal places

The decimal 3.6445 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.6445 × 10000 = 36445

Step 3: Write as a fraction

3.6445 =

36445
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 36445 and 10000.

GCD(36445, 10000) = 5

Divide both the numerator and denominator by the GCD:

36445
10000

=

36445 ÷ 5
10000 ÷ 5

=

7289
2000
Related Conversions
Other decimal to fraction conversions you might find useful