Converting 15.1904 to a Fraction
Step-by-step explanation of how to convert 15.1904 to a fraction
Result
15.1904 =
9494
625
Mixed number:
15
119
625
Step 1: Identify the number of decimal places
The decimal 15.1904 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
15.1904 × 10000 = 151904
Step 3: Write as a fraction
15.1904 =
151904
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 151904 and 10000.
GCD(151904, 10000) = 16
Divide both the numerator and denominator by the GCD:
151904
10000
=
151904 ÷ 16
10000 ÷ 16
=
9494
625
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