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3.5\times \frac{2}{23}
Divide 3.5 by \frac{23}{2} by multiplying 3.5 by the reciprocal of \frac{23}{2}.
\frac{7}{2}\times \frac{2}{23}
Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.
\frac{7\times 2}{2\times 23}
Multiply \frac{7}{2} times \frac{2}{23} by multiplying numerator times numerator and denominator times denominator.
\frac{7}{23}
Cancel out 2 in both numerator and denominator.