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x=\frac{15}{2}\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x=\frac{15\times 4}{2\times 3}
Multiply \frac{15}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{60}{6}
Do the multiplications in the fraction \frac{15\times 4}{2\times 3}.
x=10
Divide 60 by 6 to get 10.