Converting 15.3822 to a Fraction
Step-by-step explanation of how to convert 15.3822 to a fraction
Result
15.3822 =
76911
5000
Mixed number:
15
1911
5000
Step 1: Identify the number of decimal places
The decimal 15.3822 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
15.3822 × 10000 = 153822
Step 3: Write as a fraction
15.3822 =
153822
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 153822 and 10000.
GCD(153822, 10000) = 2
Divide both the numerator and denominator by the GCD:
153822
10000
=
153822 ÷ 2
10000 ÷ 2
=
76911
5000
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