Solve (3*5/6-1/2)div1/4

$$( 3 \times \frac { 5 } { 6 } - \frac { 1 } { 2 } ) \div \frac { 1 } { 4 }$$

Evaluate

$$8$$

Solution Steps

Express 3\times \frac{5}{6} as a single fraction.

$$\frac{\frac{3\times 5}{6}-\frac{1}{2}}{\frac{1}{4}}$$

Multiply 3 and 5 to get 15.

$$\frac{\frac{15}{6}-\frac{1}{2}}{\frac{1}{4}}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{5}{2}-\frac{1}{2}}{\frac{1}{4}}$$

Since \frac{5}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5-1}{2}}{\frac{1}{4}}$$

Subtract 1 from 5 to get 4.

$$\frac{\frac{4}{2}}{\frac{1}{4}}$$

Divide 4 by 2 to get 2.

$$\frac{2}{\frac{1}{4}}$$

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

$$2\times 4$$

Multiply 2 and 4 to get 8.

$$8$$

Factor

$$2^{3}$$