Converting 23.805 to a Fraction
Step-by-step explanation of how to convert 23.805 to a fraction

Result

23.805 =
4761
200
Mixed number:
23
161
200

Step 1: Identify the number of decimal places

The decimal 23.805 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

23.805 × 1000 = 23805

Step 3: Write as a fraction

23.805 =

23805
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 23805 and 1000.

GCD(23805, 1000) = 5

Divide both the numerator and denominator by the GCD:

23805
1000

=

23805 ÷ 5
1000 ÷ 5

=

4761
200
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