Converting 5.14 to a Fraction
Step-by-step explanation of how to convert 5.14 to a fraction
Result
5.14 =
257
50
Mixed number:
5
7
50
Step 1: Identify the number of decimal places
The decimal 5.14 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
5.14 × 100 = 514
Step 3: Write as a fraction
5.14 =
514
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 514 and 100.
GCD(514, 100) = 2
Divide both the numerator and denominator by the GCD:
514
100
=
514 ÷ 2
100 ÷ 2
=
257
50
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions