Converting 39.14 to a Fraction
Step-by-step explanation of how to convert 39.14 to a fraction

Result

39.14 =
1957
50
Mixed number:
39
7
50

Step 1: Identify the number of decimal places

The decimal 39.14 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

39.14 × 100 = 3914

Step 3: Write as a fraction

39.14 =

3914
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3914 and 100.

GCD(3914, 100) = 2

Divide both the numerator and denominator by the GCD:

3914
100

=

3914 ÷ 2
100 ÷ 2

=

1957
50
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