Converting 30.835 to a Fraction
Step-by-step explanation of how to convert 30.835 to a fraction

Result

30.835 =
6167
200
Mixed number:
30
167
200

Step 1: Identify the number of decimal places

The decimal 30.835 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

30.835 × 1000 = 30835

Step 3: Write as a fraction

30.835 =

30835
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30835 and 1000.

GCD(30835, 1000) = 5

Divide both the numerator and denominator by the GCD:

30835
1000

=

30835 ÷ 5
1000 ÷ 5

=

6167
200
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