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x=\frac{4}{15}\times \frac{21}{8}
Multiply both sides by \frac{21}{8}, the reciprocal of \frac{8}{21}.
x=\frac{4\times 21}{15\times 8}
Multiply \frac{4}{15} times \frac{21}{8} by multiplying numerator times numerator and denominator times denominator.
x=\frac{84}{120}
Do the multiplications in the fraction \frac{4\times 21}{15\times 8}.
x=\frac{7}{10}
Reduce the fraction \frac{84}{120} to lowest terms by extracting and canceling out 12.