Converting 15.414 to a Fraction
Step-by-step explanation of how to convert 15.414 to a fraction
Result
15.414 =
7707
500
Mixed number:
15
207
500
Step 1: Identify the number of decimal places
The decimal 15.414 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
15.414 × 1000 = 15414
Step 3: Write as a fraction
15.414 =
15414
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 15414 and 1000.
GCD(15414, 1000) = 2
Divide both the numerator and denominator by the GCD:
15414
1000
=
15414 ÷ 2
1000 ÷ 2
=
7707
500
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