Converting 15.384 to a Fraction
Step-by-step explanation of how to convert 15.384 to a fraction
Result
15.384 =
1923
125
Mixed number:
15
48
125
Step 1: Identify the number of decimal places
The decimal 15.384 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
15.384 × 1000 = 15384
Step 3: Write as a fraction
15.384 =
15384
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 15384 and 1000.
GCD(15384, 1000) = 8
Divide both the numerator and denominator by the GCD:
15384
1000
=
15384 ÷ 8
1000 ÷ 8
=
1923
125
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