Converting 13.1822 to a Fraction
Step-by-step explanation of how to convert 13.1822 to a fraction
Result
13.1822 =
65911
5000
Mixed number:
13
911
5000
Step 1: Identify the number of decimal places
The decimal 13.1822 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
13.1822 × 10000 = 131822
Step 3: Write as a fraction
13.1822 =
131822
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 131822 and 10000.
GCD(131822, 10000) = 2
Divide both the numerator and denominator by the GCD:
131822
10000
=
131822 ÷ 2
10000 ÷ 2
=
65911
5000
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