Converting 11.575 to a Fraction
Step-by-step explanation of how to convert 11.575 to a fraction
Result
11.575 =
463
40
Mixed number:
11
23
40
Step 1: Identify the number of decimal places
The decimal 11.575 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.575 × 1000 = 11575
Step 3: Write as a fraction
11.575 =
11575
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11575 and 1000.
GCD(11575, 1000) = 25
Divide both the numerator and denominator by the GCD:
11575
1000
=
11575 ÷ 25
1000 ÷ 25
=
463
40
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions