Converting 30.312 to a Fraction
Step-by-step explanation of how to convert 30.312 to a fraction

Result

30.312 =
3789
125
Mixed number:
30
39
125

Step 1: Identify the number of decimal places

The decimal 30.312 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

30.312 × 1000 = 30312

Step 3: Write as a fraction

30.312 =

30312
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30312 and 1000.

GCD(30312, 1000) = 8

Divide both the numerator and denominator by the GCD:

30312
1000

=

30312 ÷ 8
1000 ÷ 8

=

3789
125
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