Converting 9.795 to a Fraction
Step-by-step explanation of how to convert 9.795 to a fraction
Result
9.795 =
1959
200
Mixed number:
9
159
200
Step 1: Identify the number of decimal places
The decimal 9.795 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
9.795 × 1000 = 9795
Step 3: Write as a fraction
9.795 =
9795
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 9795 and 1000.
GCD(9795, 1000) = 5
Divide both the numerator and denominator by the GCD:
9795
1000
=
9795 ÷ 5
1000 ÷ 5
=
1959
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions