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\frac{x}{\frac{4}{3}}=\frac{3}{4}\times 10
Divide \frac{3}{4} by \frac{1}{10} by multiplying \frac{3}{4} by the reciprocal of \frac{1}{10}.
\frac{x}{\frac{4}{3}}=\frac{3\times 10}{4}
Express \frac{3}{4}\times 10 as a single fraction.
\frac{x}{\frac{4}{3}}=\frac{30}{4}
Multiply 3 and 10 to get 30.
\frac{x}{\frac{4}{3}}=\frac{15}{2}
Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.
x=\frac{15}{2}\times \frac{4}{3}
Multiply both sides by \frac{4}{3}.
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.