Converting 15.8226 to a Fraction
Step-by-step explanation of how to convert 15.8226 to a fraction
Result
15.8226 =
79113
5000
Mixed number:
15
4113
5000
Step 1: Identify the number of decimal places
The decimal 15.8226 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
15.8226 × 10000 = 158226
Step 3: Write as a fraction
15.8226 =
158226
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 158226 and 10000.
GCD(158226, 10000) = 2
Divide both the numerator and denominator by the GCD:
158226
10000
=
158226 ÷ 2
10000 ÷ 2
=
79113
5000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions