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5\left(4\times \frac{17}{10}-1\right)-12=5\times 2\times \frac{17}{10}
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5\left(\frac{4\times 17}{10}-1\right)-12=5\times 2\times \frac{17}{10}
Express 4\times \frac{17}{10} as a single fraction.
5\left(\frac{68}{10}-1\right)-12=5\times 2\times \frac{17}{10}
Multiply 4 and 17 to get 68.
5\left(\frac{34}{5}-1\right)-12=5\times 2\times \frac{17}{10}
Reduce the fraction \frac{68}{10} to lowest terms by extracting and canceling out 2.
5\left(\frac{34}{5}-\frac{5}{5}\right)-12=5\times 2\times \frac{17}{10}
Convert 1 to fraction \frac{5}{5}.
5\times \frac{34-5}{5}-12=5\times 2\times \frac{17}{10}
Since \frac{34}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.
5\times \frac{29}{5}-12=5\times 2\times \frac{17}{10}
Subtract 5 from 34 to get 29.
29-12=5\times 2\times \frac{17}{10}
Cancel out 5 and 5.
17=5\times 2\times \frac{17}{10}
Subtract 12 from 29 to get 17.
17=10\times \frac{17}{10}
Multiply 5 and 2 to get 10.
17=17
Cancel out 10 and 10.
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Compare 17 and 17.