Solve 33/5div12/7

$$3 \frac { 3 } { 5 } \div 1 \frac { 2 } { 7 }$$

Evaluate

$$\frac{14}{5}=2.8$$

Solution Steps

Divide \frac{3\times 5+3}{5} by \frac{1\times 7+2}{7} by multiplying \frac{3\times 5+3}{5} by the reciprocal of \frac{1\times 7+2}{7}.

$$\frac{\left(3\times 5+3\right)\times 7}{5\left(1\times 7+2\right)}$$

Multiply 3 and 5 to get 15.

$$\frac{\left(15+3\right)\times 7}{5\left(1\times 7+2\right)}$$

Add 15 and 3 to get 18.

$$\frac{18\times 7}{5\left(1\times 7+2\right)}$$

Multiply 18 and 7 to get 126.

$$\frac{126}{5\left(1\times 7+2\right)}$$

Multiply 1 and 7 to get 7.

$$\frac{126}{5\left(7+2\right)}$$

Add 7 and 2 to get 9.

$$\frac{126}{5\times 9}$$

Multiply 5 and 9 to get 45.

$$\frac{126}{45}$$

Reduce the fraction \frac{126}{45} to lowest terms by extracting and canceling out 9.

$$\frac{14}{5}$$

Factor

$$\frac{2 \cdot 7}{5} = 2\frac{4}{5} = 2.8$$