Converting 3.142 to a Fraction
Step-by-step explanation of how to convert 3.142 to a fraction
Result
3.142 =
1571
500
Mixed number:
3
71
500
Step 1: Identify the number of decimal places
The decimal 3.142 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
3.142 × 1000 = 3142
Step 3: Write as a fraction
3.142 =
3142
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3142 and 1000.
GCD(3142, 1000) = 2
Divide both the numerator and denominator by the GCD:
3142
1000
=
3142 ÷ 2
1000 ÷ 2
=
1571
500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions