Converting 16.89744 to a Fraction
Step-by-step explanation of how to convert 16.89744 to a fraction
Result
16.89744 =
105609
6250
Mixed number:
16
5609
6250
Step 1: Identify the number of decimal places
The decimal 16.89744 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
16.89744 × 100000 = 1689744
Step 3: Write as a fraction
16.89744 =
1689744
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1689744 and 100000.
GCD(1689744, 100000) = 16
Divide both the numerator and denominator by the GCD:
1689744
100000
=
1689744 ÷ 16
100000 ÷ 16
=
105609
6250
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