Converting 30.9 to a Fraction
Step-by-step explanation of how to convert 30.9 to a fraction
Result
30.9 =
309
10
Mixed number:
30
9
10
Step 1: Identify the number of decimal places
The decimal 30.9 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
30.9 × 10 = 309
Step 3: Write as a fraction
30.9 =
309
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 309 and 10.
GCD(309, 10) = 1
Divide both the numerator and denominator by the GCD:
309
10
=
309 ÷ 1
10 ÷ 1
=
309
10
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