Converting 2.822 to a Fraction
Step-by-step explanation of how to convert 2.822 to a fraction

Result

2.822 =
1411
500
Mixed number:
2
411
500

Step 1: Identify the number of decimal places

The decimal 2.822 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

2.822 × 1000 = 2822

Step 3: Write as a fraction

2.822 =

2822
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2822 and 1000.

GCD(2822, 1000) = 2

Divide both the numerator and denominator by the GCD:

2822
1000

=

2822 ÷ 2
1000 ÷ 2

=

1411
500
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