Converting 9.838 to a Fraction
Step-by-step explanation of how to convert 9.838 to a fraction
Result
9.838 =
4919
500
Mixed number:
9
419
500
Step 1: Identify the number of decimal places
The decimal 9.838 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
9.838 × 1000 = 9838
Step 3: Write as a fraction
9.838 =
9838
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 9838 and 1000.
GCD(9838, 1000) = 2
Divide both the numerator and denominator by the GCD:
9838
1000
=
9838 ÷ 2
1000 ÷ 2
=
4919
500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions