Converting 36.9864 to a Fraction
Step-by-step explanation of how to convert 36.9864 to a fraction

Result

36.9864 =
46233
1250
Mixed number:
36
1233
1250

Step 1: Identify the number of decimal places

The decimal 36.9864 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

36.9864 × 10000 = 369864

Step 3: Write as a fraction

36.9864 =

369864
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 369864 and 10000.

GCD(369864, 10000) = 8

Divide both the numerator and denominator by the GCD:

369864
10000

=

369864 ÷ 8
10000 ÷ 8

=

46233
1250
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