Converting 11.145 to a Fraction
Step-by-step explanation of how to convert 11.145 to a fraction
Result
11.145 =
2229
200
Mixed number:
11
29
200
Step 1: Identify the number of decimal places
The decimal 11.145 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.145 × 1000 = 11145
Step 3: Write as a fraction
11.145 =
11145
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11145 and 1000.
GCD(11145, 1000) = 5
Divide both the numerator and denominator by the GCD:
11145
1000
=
11145 ÷ 5
1000 ÷ 5
=
2229
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions