Solve 4div8/3-3/5

$$4 \div \frac { 8 } { 3 } - \frac { 3 } { 5 }$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Divide 4 by \frac{8}{3} by multiplying 4 by the reciprocal of \frac{8}{3}.

$$4\times \frac{3}{8}-\frac{3}{5}$$

Express 4\times \frac{3}{8} as a single fraction.

$$\frac{4\times 3}{8}-\frac{3}{5}$$

Multiply 4 and 3 to get 12.

$$\frac{12}{8}-\frac{3}{5}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$\frac{3}{2}-\frac{3}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{3}{5} to fractions with denominator 10.

$$\frac{15}{10}-\frac{6}{10}$$

Since \frac{15}{10} and \frac{6}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-6}{10}$$

Subtract 6 from 15 to get 9.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$