Converting 30.845 to a Fraction
Step-by-step explanation of how to convert 30.845 to a fraction

Result

30.845 =
6169
200
Mixed number:
30
169
200

Step 1: Identify the number of decimal places

The decimal 30.845 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

30.845 × 1000 = 30845

Step 3: Write as a fraction

30.845 =

30845
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30845 and 1000.

GCD(30845, 1000) = 5

Divide both the numerator and denominator by the GCD:

30845
1000

=

30845 ÷ 5
1000 ÷ 5

=

6169
200
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