Converting 3.1125 to a Fraction
Step-by-step explanation of how to convert 3.1125 to a fraction
Result
3.1125 =
249
80
Mixed number:
3
9
80
Step 1: Identify the number of decimal places
The decimal 3.1125 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.1125 × 10000 = 31125
Step 3: Write as a fraction
3.1125 =
31125
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31125 and 10000.
GCD(31125, 10000) = 125
Divide both the numerator and denominator by the GCD:
31125
10000
=
31125 ÷ 125
10000 ÷ 125
=
249
80
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions