Converting 3.8268 to a Fraction
Step-by-step explanation of how to convert 3.8268 to a fraction

Result

3.8268 =
9567
2500
Mixed number:
3
2067
2500

Step 1: Identify the number of decimal places

The decimal 3.8268 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.8268 × 10000 = 38268

Step 3: Write as a fraction

3.8268 =

38268
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 38268 and 10000.

GCD(38268, 10000) = 4

Divide both the numerator and denominator by the GCD:

38268
10000

=

38268 ÷ 4
10000 ÷ 4

=

9567
2500
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