Converting 31.4 to a Fraction
Step-by-step explanation of how to convert 31.4 to a fraction
Result
31.4 =
157
5
Mixed number:
31
2
5
Step 1: Identify the number of decimal places
The decimal 31.4 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
31.4 × 10 = 314
Step 3: Write as a fraction
31.4 =
314
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 314 and 10.
GCD(314, 10) = 2
Divide both the numerator and denominator by the GCD:
314
10
=
314 ÷ 2
10 ÷ 2
=
157
5
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions