Converting 30.755 to a Fraction
Step-by-step explanation of how to convert 30.755 to a fraction
Result
30.755 =
6151
200
Mixed number:
30
151
200
Step 1: Identify the number of decimal places
The decimal 30.755 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
30.755 × 1000 = 30755
Step 3: Write as a fraction
30.755 =
30755
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 30755 and 1000.
GCD(30755, 1000) = 5
Divide both the numerator and denominator by the GCD:
30755
1000
=
30755 ÷ 5
1000 ÷ 5
=
6151
200
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