Converting 1.9822 to a Fraction
Step-by-step explanation of how to convert 1.9822 to a fraction
Result
1.9822 =
9911
5000
Mixed number:
1
4911
5000
Step 1: Identify the number of decimal places
The decimal 1.9822 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
1.9822 × 10000 = 19822
Step 3: Write as a fraction
1.9822 =
19822
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 19822 and 10000.
GCD(19822, 10000) = 2
Divide both the numerator and denominator by the GCD:
19822
10000
=
19822 ÷ 2
10000 ÷ 2
=
9911
5000
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