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\frac{13}{8}x=\frac{2}{5}
Reduce the fraction \frac{26}{16} to lowest terms by extracting and canceling out 2.
x=\frac{2}{5}\times \frac{8}{13}
Multiply both sides by \frac{8}{13}, the reciprocal of \frac{13}{8}.
x=\frac{2\times 8}{5\times 13}
Multiply \frac{2}{5} times \frac{8}{13} by multiplying numerator times numerator and denominator times denominator.
x=\frac{16}{65}
Do the multiplications in the fraction \frac{2\times 8}{5\times 13}.