Converting 49.822 to a Fraction
Step-by-step explanation of how to convert 49.822 to a fraction

Result

49.822 =
24911
500
Mixed number:
49
411
500

Step 1: Identify the number of decimal places

The decimal 49.822 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

49.822 × 1000 = 49822

Step 3: Write as a fraction

49.822 =

49822
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49822 and 1000.

GCD(49822, 1000) = 2

Divide both the numerator and denominator by the GCD:

49822
1000

=

49822 ÷ 2
1000 ÷ 2

=

24911
500
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