Converting 9.845 to a Fraction
Step-by-step explanation of how to convert 9.845 to a fraction
Result
9.845 =
1969
200
Mixed number:
9
169
200
Step 1: Identify the number of decimal places
The decimal 9.845 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
9.845 × 1000 = 9845
Step 3: Write as a fraction
9.845 =
9845
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 9845 and 1000.
GCD(9845, 1000) = 5
Divide both the numerator and denominator by the GCD:
9845
1000
=
9845 ÷ 5
1000 ÷ 5
=
1969
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions