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2s=\frac{7}{27}\times 9
Multiply both sides by 9.
2s=\frac{7\times 9}{27}
Express \frac{7}{27}\times 9 as a single fraction.
2s=\frac{63}{27}
Multiply 7 and 9 to get 63.
2s=\frac{7}{3}
Reduce the fraction \frac{63}{27} to lowest terms by extracting and canceling out 9.
s=\frac{\frac{7}{3}}{2}
Divide both sides by 2.
s=\frac{7}{3\times 2}
Express \frac{\frac{7}{3}}{2} as a single fraction.
s=\frac{7}{6}
Multiply 3 and 2 to get 6.