Converting 10.3815 to a Fraction
Step-by-step explanation of how to convert 10.3815 to a fraction
Result
10.3815 =
20763
2000
Mixed number:
10
763
2000
Step 1: Identify the number of decimal places
The decimal 10.3815 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.3815 × 10000 = 103815
Step 3: Write as a fraction
10.3815 =
103815
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 103815 and 10000.
GCD(103815, 10000) = 5
Divide both the numerator and denominator by the GCD:
103815
10000
=
103815 ÷ 5
10000 ÷ 5
=
20763
2000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions