Converting 2.565 to a Fraction
Step-by-step explanation of how to convert 2.565 to a fraction
Result
2.565 =
513
200
Mixed number:
2
113
200
Step 1: Identify the number of decimal places
The decimal 2.565 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
2.565 × 1000 = 2565
Step 3: Write as a fraction
2.565 =
2565
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2565 and 1000.
GCD(2565, 1000) = 5
Divide both the numerator and denominator by the GCD:
2565
1000
=
2565 ÷ 5
1000 ÷ 5
=
513
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions