Converting 3.14 to a Fraction
Step-by-step explanation of how to convert 3.14 to a fraction
Result
3.14 =
157
50
Mixed number:
3
7
50
Step 1: Identify the number of decimal places
The decimal 3.14 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
3.14 × 100 = 314
Step 3: Write as a fraction
3.14 =
314
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 314 and 100.
GCD(314, 100) = 2
Divide both the numerator and denominator by the GCD:
314
100
=
314 ÷ 2
100 ÷ 2
=
157
50
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