Converting 1.155 to a Fraction
Step-by-step explanation of how to convert 1.155 to a fraction
Result
1.155 =
231
200
Mixed number:
1
31
200
Step 1: Identify the number of decimal places
The decimal 1.155 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
1.155 × 1000 = 1155
Step 3: Write as a fraction
1.155 =
1155
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1155 and 1000.
GCD(1155, 1000) = 5
Divide both the numerator and denominator by the GCD:
1155
1000
=
1155 ÷ 5
1000 ÷ 5
=
231
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions