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2m=\frac{2}{27}\times 3
Multiply both sides by 3.
2m=\frac{2\times 3}{27}
Express \frac{2}{27}\times 3 as a single fraction.
2m=\frac{6}{27}
Multiply 2 and 3 to get 6.
2m=\frac{2}{9}
Reduce the fraction \frac{6}{27} to lowest terms by extracting and canceling out 3.
m=\frac{\frac{2}{9}}{2}
Divide both sides by 2.
m=\frac{2}{9\times 2}
Express \frac{\frac{2}{9}}{2} as a single fraction.
m=\frac{1}{9}
Cancel out 2 in both numerator and denominator.