Converting 2.83825 to a Fraction
Step-by-step explanation of how to convert 2.83825 to a fraction

Result

2.83825 =
11353
4000
Mixed number:
2
3353
4000

Step 1: Identify the number of decimal places

The decimal 2.83825 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

2.83825 × 100000 = 283825

Step 3: Write as a fraction

2.83825 =

283825
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 283825 and 100000.

GCD(283825, 100000) = 25

Divide both the numerator and denominator by the GCD:

283825
100000

=

283825 ÷ 25
100000 ÷ 25

=

11353
4000
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