Converting 13.14375 to a Fraction
Step-by-step explanation of how to convert 13.14375 to a fraction
Result
13.14375 =
2103
160
Mixed number:
13
23
160
Step 1: Identify the number of decimal places
The decimal 13.14375 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
13.14375 × 100000 = 1314375
Step 3: Write as a fraction
13.14375 =
1314375
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1314375 and 100000.
GCD(1314375, 100000) = 625
Divide both the numerator and denominator by the GCD:
1314375
100000
=
1314375 ÷ 625
100000 ÷ 625
=
2103
160
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions