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x=1.5\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x=\frac{3}{2}\times \frac{4}{3}
Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.
x=\frac{3\times 4}{2\times 3}
Multiply \frac{3}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{4}{2}
Cancel out 3 in both numerator and denominator.
x=2
Divide 4 by 2 to get 2.