Converting 3.69 to a Fraction
Step-by-step explanation of how to convert 3.69 to a fraction

Result

3.69 =
369
100
Mixed number:
3
69
100

Step 1: Identify the number of decimal places

The decimal 3.69 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

3.69 × 100 = 369

Step 3: Write as a fraction

3.69 =

369
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 369 and 100.

GCD(369, 100) = 1

Divide both the numerator and denominator by the GCD:

369
100

=

369 ÷ 1
100 ÷ 1

=

369
100
Related Conversions
Other decimal to fraction conversions you might find useful