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2x=\frac{4}{15}\times \frac{10}{11}
Multiply both sides by \frac{10}{11}.
2x=\frac{4\times 10}{15\times 11}
Multiply \frac{4}{15} times \frac{10}{11} by multiplying numerator times numerator and denominator times denominator.
2x=\frac{40}{165}
Do the multiplications in the fraction \frac{4\times 10}{15\times 11}.
2x=\frac{8}{33}
Reduce the fraction \frac{40}{165} to lowest terms by extracting and canceling out 5.
x=\frac{\frac{8}{33}}{2}
Divide both sides by 2.
x=\frac{8}{33\times 2}
Express \frac{\frac{8}{33}}{2} as a single fraction.
x=\frac{8}{66}
Multiply 33 and 2 to get 66.
x=\frac{4}{33}
Reduce the fraction \frac{8}{66} to lowest terms by extracting and canceling out 2.