Converting 30.945 to a Fraction
Step-by-step explanation of how to convert 30.945 to a fraction
Result
30.945 =
6189
200
Mixed number:
30
189
200
Step 1: Identify the number of decimal places
The decimal 30.945 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
30.945 × 1000 = 30945
Step 3: Write as a fraction
30.945 =
30945
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 30945 and 1000.
GCD(30945, 1000) = 5
Divide both the numerator and denominator by the GCD:
30945
1000
=
30945 ÷ 5
1000 ÷ 5
=
6189
200
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