Converting 33.14 to a Fraction
Step-by-step explanation of how to convert 33.14 to a fraction
Result
33.14 =
1657
50
Mixed number:
33
7
50
Step 1: Identify the number of decimal places
The decimal 33.14 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
33.14 × 100 = 3314
Step 3: Write as a fraction
33.14 =
3314
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3314 and 100.
GCD(3314, 100) = 2
Divide both the numerator and denominator by the GCD:
3314
100
=
3314 ÷ 2
100 ÷ 2
=
1657
50
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