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4\times \frac{3}{8}-0.6
Divide 4 by \frac{8}{3} by multiplying 4 by the reciprocal of \frac{8}{3}.
\frac{4\times 3}{8}-0.6
Express 4\times \frac{3}{8} as a single fraction.
\frac{12}{8}-0.6
Multiply 4 and 3 to get 12.
\frac{3}{2}-0.6
Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.
\frac{3}{2}-\frac{3}{5}
Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
\frac{15}{10}-\frac{6}{10}
Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{3}{5} to fractions with denominator 10.
\frac{15-6}{10}
Since \frac{15}{10} and \frac{6}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{9}{10}
Subtract 6 from 15 to get 9.