Converting 36.6376 to a Fraction
Step-by-step explanation of how to convert 36.6376 to a fraction

Result

36.6376 =
45797
1250
Mixed number:
36
797
1250

Step 1: Identify the number of decimal places

The decimal 36.6376 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

36.6376 × 10000 = 366376

Step 3: Write as a fraction

36.6376 =

366376
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 366376 and 10000.

GCD(366376, 10000) = 8

Divide both the numerator and denominator by the GCD:

366376
10000

=

366376 ÷ 8
10000 ÷ 8

=

45797
1250
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