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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