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x\times \frac{2}{3}=\frac{1}{652775}\times 5
Multiply both sides of the equation by 6, the least common multiple of 6,3.
x\times \frac{2}{3}=\frac{5}{652775}
Multiply \frac{1}{652775} and 5 to get \frac{5}{652775}.
x\times \frac{2}{3}=\frac{1}{130555}
Reduce the fraction \frac{5}{652775} to lowest terms by extracting and canceling out 5.
x=\frac{1}{130555}\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=\frac{1\times 3}{130555\times 2}
Multiply \frac{1}{130555} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
x=\frac{3}{261110}
Do the multiplications in the fraction \frac{1\times 3}{130555\times 2}.