Converting 8.2342 to a Fraction
Step-by-step explanation of how to convert 8.2342 to a fraction

Result

8.2342 =
41171
5000
Mixed number:
8
1171
5000

Step 1: Identify the number of decimal places

The decimal 8.2342 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.2342 × 10000 = 82342

Step 3: Write as a fraction

8.2342 =

82342
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 82342 and 10000.

GCD(82342, 10000) = 2

Divide both the numerator and denominator by the GCD:

82342
10000

=

82342 ÷ 2
10000 ÷ 2

=

41171
5000
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