Converting 4.805 to a Fraction
Step-by-step explanation of how to convert 4.805 to a fraction
Result
4.805 =
961
200
Mixed number:
4
161
200
Step 1: Identify the number of decimal places
The decimal 4.805 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
4.805 × 1000 = 4805
Step 3: Write as a fraction
4.805 =
4805
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4805 and 1000.
GCD(4805, 1000) = 5
Divide both the numerator and denominator by the GCD:
4805
1000
=
4805 ÷ 5
1000 ÷ 5
=
961
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions