Converting 37.71 to a Fraction
Step-by-step explanation of how to convert 37.71 to a fraction

Result

37.71 =
3771
100
Mixed number:
37
71
100

Step 1: Identify the number of decimal places

The decimal 37.71 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

37.71 × 100 = 3771

Step 3: Write as a fraction

37.71 =

3771
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3771 and 100.

GCD(3771, 100) = 1

Divide both the numerator and denominator by the GCD:

3771
100

=

3771 ÷ 1
100 ÷ 1

=

3771
100
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