Converting 2.3822 to a Fraction
Step-by-step explanation of how to convert 2.3822 to a fraction

Result

2.3822 =
11911
5000
Mixed number:
2
1911
5000

Step 1: Identify the number of decimal places

The decimal 2.3822 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.3822 × 10000 = 23822

Step 3: Write as a fraction

2.3822 =

23822
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 23822 and 10000.

GCD(23822, 10000) = 2

Divide both the numerator and denominator by the GCD:

23822
10000

=

23822 ÷ 2
10000 ÷ 2

=

11911
5000
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