Converting 36.2276 to a Fraction
Step-by-step explanation of how to convert 36.2276 to a fraction
Result
36.2276 =
90569
2500
Mixed number:
36
569
2500
Step 1: Identify the number of decimal places
The decimal 36.2276 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
36.2276 × 10000 = 362276
Step 3: Write as a fraction
36.2276 =
362276
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 362276 and 10000.
GCD(362276, 10000) = 4
Divide both the numerator and denominator by the GCD:
362276
10000
=
362276 ÷ 4
10000 ÷ 4
=
90569
2500
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