Converting 30.85 to a Fraction
Step-by-step explanation of how to convert 30.85 to a fraction
Result
30.85 =
617
20
Mixed number:
30
17
20
Step 1: Identify the number of decimal places
The decimal 30.85 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
30.85 × 100 = 3085
Step 3: Write as a fraction
30.85 =
3085
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3085 and 100.
GCD(3085, 100) = 5
Divide both the numerator and denominator by the GCD:
3085
100
=
3085 ÷ 5
100 ÷ 5
=
617
20
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