Converting 37.66 to a Fraction
Step-by-step explanation of how to convert 37.66 to a fraction

Result

37.66 =
1883
50
Mixed number:
37
33
50

Step 1: Identify the number of decimal places

The decimal 37.66 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

37.66 × 100 = 3766

Step 3: Write as a fraction

37.66 =

3766
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3766 and 100.

GCD(3766, 100) = 2

Divide both the numerator and denominator by the GCD:

3766
100

=

3766 ÷ 2
100 ÷ 2

=

1883
50
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