Converting 39.75 to a Fraction
Step-by-step explanation of how to convert 39.75 to a fraction

Result

39.75 =
159
4
Mixed number:
39
3
4

Step 1: Identify the number of decimal places

The decimal 39.75 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

39.75 × 100 = 3975

Step 3: Write as a fraction

39.75 =

3975
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3975 and 100.

GCD(3975, 100) = 25

Divide both the numerator and denominator by the GCD:

3975
100

=

3975 ÷ 25
100 ÷ 25

=

159
4
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