Converting 8.2376 to a Fraction
Step-by-step explanation of how to convert 8.2376 to a fraction
Result
8.2376 =
10297
1250
Mixed number:
8
297
1250
Step 1: Identify the number of decimal places
The decimal 8.2376 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
8.2376 × 10000 = 82376
Step 3: Write as a fraction
8.2376 =
82376
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 82376 and 10000.
GCD(82376, 10000) = 8
Divide both the numerator and denominator by the GCD:
82376
10000
=
82376 ÷ 8
10000 ÷ 8
=
10297
1250
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