Solve 4:1/2*5/3-5/6=

$$4 : \frac { 1 } { 2 } \cdot \frac { 5 } { 3 } - \frac { 5 } { 6 } =$$

Evaluate

$$\frac{25}{2}=12.5$$

Solution Steps

Divide 4 by \frac{1}{2} by multiplying 4 by the reciprocal of \frac{1}{2}.

$$4\times 2\times \frac{5}{3}-\frac{5}{6}$$

Multiply 4 and 2 to get 8.

$$8\times \frac{5}{3}-\frac{5}{6}$$

Express 8\times \frac{5}{3} as a single fraction.

$$\frac{8\times 5}{3}-\frac{5}{6}$$

Multiply 8 and 5 to get 40.

$$\frac{40}{3}-\frac{5}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{40}{3} and \frac{5}{6} to fractions with denominator 6.

$$\frac{80}{6}-\frac{5}{6}$$

Since \frac{80}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{80-5}{6}$$

Subtract 5 from 80 to get 75.

$$\frac{75}{6}$$

Reduce the fraction \frac{75}{6} to lowest terms by extracting and canceling out 3.

$$\frac{25}{2}$$

Factor

$$\frac{5 ^ {2}}{2} = 12\frac{1}{2} = 12.5$$