Converting 15.9744 to a Fraction
Step-by-step explanation of how to convert 15.9744 to a fraction
Result
15.9744 =
9984
625
Mixed number:
15
609
625
Step 1: Identify the number of decimal places
The decimal 15.9744 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
15.9744 × 10000 = 159744
Step 3: Write as a fraction
15.9744 =
159744
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 159744 and 10000.
GCD(159744, 10000) = 16
Divide both the numerator and denominator by the GCD:
159744
10000
=
159744 ÷ 16
10000 ÷ 16
=
9984
625
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