Converting 8.2274 to a Fraction
Step-by-step explanation of how to convert 8.2274 to a fraction

Result

8.2274 =
41137
5000
Mixed number:
8
1137
5000

Step 1: Identify the number of decimal places

The decimal 8.2274 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.2274 × 10000 = 82274

Step 3: Write as a fraction

8.2274 =

82274
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 82274 and 10000.

GCD(82274, 10000) = 2

Divide both the numerator and denominator by the GCD:

82274
10000

=

82274 ÷ 2
10000 ÷ 2

=

41137
5000
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