Solve 4div8/3-3/4

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

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

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

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

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

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

Multiply 4 and 3 to get 12.

$$\frac{12}{8}-\frac{3}{4}$$

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

$$\frac{3}{2}-\frac{3}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{3}{4} to fractions with denominator 4.

$$\frac{6}{4}-\frac{3}{4}$$

Since \frac{6}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-3}{4}$$

Subtract 3 from 6 to get 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$