Converting 36.5288 to a Fraction
Step-by-step explanation of how to convert 36.5288 to a fraction

Result

36.5288 =
45661
1250
Mixed number:
36
661
1250

Step 1: Identify the number of decimal places

The decimal 36.5288 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

36.5288 × 10000 = 365288

Step 3: Write as a fraction

36.5288 =

365288
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 365288 and 10000.

GCD(365288, 10000) = 8

Divide both the numerator and denominator by the GCD:

365288
10000

=

365288 ÷ 8
10000 ÷ 8

=

45661
1250
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