Converting 15.3824 to a Fraction
Step-by-step explanation of how to convert 15.3824 to a fraction
Result
15.3824 =
9614
625
Mixed number:
15
239
625
Step 1: Identify the number of decimal places
The decimal 15.3824 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
15.3824 × 10000 = 153824
Step 3: Write as a fraction
15.3824 =
153824
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 153824 and 10000.
GCD(153824, 10000) = 16
Divide both the numerator and denominator by the GCD:
153824
10000
=
153824 ÷ 16
10000 ÷ 16
=
9614
625
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