Converting 27.14 to a Fraction
Step-by-step explanation of how to convert 27.14 to a fraction
Result
27.14 =
1357
50
Mixed number:
27
7
50
Step 1: Identify the number of decimal places
The decimal 27.14 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
27.14 × 100 = 2714
Step 3: Write as a fraction
27.14 =
2714
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2714 and 100.
GCD(2714, 100) = 2
Divide both the numerator and denominator by the GCD:
2714
100
=
2714 ÷ 2
100 ÷ 2
=
1357
50
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