Solve 51/3div(11/3div3)

$$5 \frac { 1 } { 3 } \div ( 1 \frac { 1 } { 3 } \div 3 )$$

Evaluate

$$12$$

Solution Steps

Divide \frac{5\times 3+1}{3} by \frac{\frac{1\times 3+1}{3}}{3} by multiplying \frac{5\times 3+1}{3} by the reciprocal of \frac{\frac{1\times 3+1}{3}}{3}.

$$\frac{\left(5\times 3+1\right)\times 3}{3\times \frac{1\times 3+1}{3}}$$

Multiply 5 and 3 to get 15.

$$\frac{\left(15+1\right)\times 3}{3\times \frac{1\times 3+1}{3}}$$

Add 15 and 1 to get 16.

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

Multiply 16 and 3 to get 48.

$$\frac{48}{3\times \frac{1\times 3+1}{3}}$$

Multiply 1 and 3 to get 3.

$$\frac{48}{3\times \frac{3+1}{3}}$$

Add 3 and 1 to get 4.

$$\frac{48}{3\times \frac{4}{3}}$$

Cancel out 3 and 3.

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

Divide 48 by 4 to get 12.

$$12$$

Factor

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