Converting 11.496 to a Fraction
Step-by-step explanation of how to convert 11.496 to a fraction
Result
11.496 =
1437
125
Mixed number:
11
62
125
Step 1: Identify the number of decimal places
The decimal 11.496 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.496 × 1000 = 11496
Step 3: Write as a fraction
11.496 =
11496
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11496 and 1000.
GCD(11496, 1000) = 8
Divide both the numerator and denominator by the GCD:
11496
1000
=
11496 ÷ 8
1000 ÷ 8
=
1437
125
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions