Converting 9.906 to a Fraction
Step-by-step explanation of how to convert 9.906 to a fraction
Result
9.906 =
4953
500
Mixed number:
9
453
500
Step 1: Identify the number of decimal places
The decimal 9.906 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
9.906 × 1000 = 9906
Step 3: Write as a fraction
9.906 =
9906
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 9906 and 1000.
GCD(9906, 1000) = 2
Divide both the numerator and denominator by the GCD:
9906
1000
=
9906 ÷ 2
1000 ÷ 2
=
4953
500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions