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17x=15\times 47.9
Multiply both sides of the equation by 510, the least common multiple of 30,34.
17x=718.5
Multiply 15 and 47.9 to get 718.5.
x=\frac{718.5}{17}
Divide both sides by 17.
x=\frac{7185}{170}
Expand \frac{718.5}{17} by multiplying both numerator and the denominator by 10.
x=\frac{1437}{34}
Reduce the fraction \frac{7185}{170} to lowest terms by extracting and canceling out 5.