Converting 30.14 to a Fraction
Step-by-step explanation of how to convert 30.14 to a fraction
Result
30.14 =
1507
50
Mixed number:
30
7
50
Step 1: Identify the number of decimal places
The decimal 30.14 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
30.14 × 100 = 3014
Step 3: Write as a fraction
30.14 =
3014
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3014 and 100.
GCD(3014, 100) = 2
Divide both the numerator and denominator by the GCD:
3014
100
=
3014 ÷ 2
100 ÷ 2
=
1507
50
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