Converting 2.8402 to a Fraction
Step-by-step explanation of how to convert 2.8402 to a fraction

Result

2.8402 =
14201
5000
Mixed number:
2
4201
5000

Step 1: Identify the number of decimal places

The decimal 2.8402 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.8402 × 10000 = 28402

Step 3: Write as a fraction

2.8402 =

28402
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 28402 and 10000.

GCD(28402, 10000) = 2

Divide both the numerator and denominator by the GCD:

28402
10000

=

28402 ÷ 2
10000 ÷ 2

=

14201
5000
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