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s\times \frac{1.5}{2.5}=6
Variable s cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by s.
s\times \frac{15}{25}=6
Expand \frac{1.5}{2.5} by multiplying both numerator and the denominator by 10.
s\times \frac{3}{5}=6
Reduce the fraction \frac{15}{25} to lowest terms by extracting and canceling out 5.
s=6\times \frac{5}{3}
Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.
s=\frac{6\times 5}{3}
Express 6\times \frac{5}{3} as a single fraction.
s=\frac{30}{3}
Multiply 6 and 5 to get 30.
s=10
Divide 30 by 3 to get 10.