Converting 36.71904 to a Fraction
Step-by-step explanation of how to convert 36.71904 to a fraction

Result

36.71904 =
114747
3125
Mixed number:
36
2247
3125

Step 1: Identify the number of decimal places

The decimal 36.71904 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

36.71904 × 100000 = 3671904

Step 3: Write as a fraction

36.71904 =

3671904
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3671904 and 100000.

GCD(3671904, 100000) = 32

Divide both the numerator and denominator by the GCD:

3671904
100000

=

3671904 ÷ 32
100000 ÷ 32

=

114747
3125
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