Converting 42.822 to a Fraction
Step-by-step explanation of how to convert 42.822 to a fraction
Result
42.822 =
21411
500
Mixed number:
42
411
500
Step 1: Identify the number of decimal places
The decimal 42.822 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
42.822 × 1000 = 42822
Step 3: Write as a fraction
42.822 =
42822
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 42822 and 1000.
GCD(42822, 1000) = 2
Divide both the numerator and denominator by the GCD:
42822
1000
=
42822 ÷ 2
1000 ÷ 2
=
21411
500
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