Converting 0.31125 to a Fraction
Step-by-step explanation of how to convert 0.31125 to a fraction
Result
0.31125 =
249
800
Step 1: Identify the number of decimal places
The decimal 0.31125 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.31125 × 100000 = 31125
Step 3: Write as a fraction
0.31125 =
31125
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31125 and 100000.
GCD(31125, 100000) = 125
Divide both the numerator and denominator by the GCD:
31125
100000
=
31125 ÷ 125
100000 ÷ 125
=
249
800
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions