Converting 3.65 to a Fraction
Step-by-step explanation of how to convert 3.65 to a fraction
Result
3.65 =
73
20
Mixed number:
3
13
20
Step 1: Identify the number of decimal places
The decimal 3.65 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
3.65 × 100 = 365
Step 3: Write as a fraction
3.65 =
365
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 365 and 100.
GCD(365, 100) = 5
Divide both the numerator and denominator by the GCD:
365
100
=
365 ÷ 5
100 ÷ 5
=
73
20
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions