Converting 36.2284 to a Fraction
Step-by-step explanation of how to convert 36.2284 to a fraction

Result

36.2284 =
90571
2500
Mixed number:
36
571
2500

Step 1: Identify the number of decimal places

The decimal 36.2284 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

36.2284 × 10000 = 362284

Step 3: Write as a fraction

36.2284 =

362284
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 362284 and 10000.

GCD(362284, 10000) = 4

Divide both the numerator and denominator by the GCD:

362284
10000

=

362284 ÷ 4
10000 ÷ 4

=

90571
2500
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