Solve 8(23/4-3/4)div11/3

$$8 ( 2 \frac { 3 } { 4 } - \frac { 3 } { 4 } ) \div 1 \frac { 1 } { 3 }$$

Evaluate

$$12$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8\left(\frac{8+3}{4}-\frac{3}{4}\right)}{\frac{1\times 3+1}{3}}$$

Add 8 and 3 to get 11.

$$\frac{8\left(\frac{11}{4}-\frac{3}{4}\right)}{\frac{1\times 3+1}{3}}$$

Since \frac{11}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8\times \frac{11-3}{4}}{\frac{1\times 3+1}{3}}$$

Subtract 3 from 11 to get 8.

$$\frac{8\times \frac{8}{4}}{\frac{1\times 3+1}{3}}$$

Divide 8 by 4 to get 2.

$$\frac{8\times 2}{\frac{1\times 3+1}{3}}$$

Multiply 8 and 2 to get 16.

$$\frac{16}{\frac{1\times 3+1}{3}}$$

Multiply 1 and 3 to get 3.

$$\frac{16}{\frac{3+1}{3}}$$

Add 3 and 1 to get 4.

$$\frac{16}{\frac{4}{3}}$$

Divide 16 by \frac{4}{3} by multiplying 16 by the reciprocal of \frac{4}{3}.

$$16\times \frac{3}{4}$$

Express 16\times \frac{3}{4} as a single fraction.

$$\frac{16\times 3}{4}$$

Multiply 16 and 3 to get 48.

$$\frac{48}{4}$$

Divide 48 by 4 to get 12.

$$12$$

Factor

$$2^{2}\times 3$$