Solve 53/5div22/3

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

Evaluate

$$\frac{21}{10}=2.1$$

Solution Steps

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

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

Multiply 5 and 5 to get 25.

$$\frac{\left(25+3\right)\times 3}{5\left(2\times 3+2\right)}$$

Add 25 and 3 to get 28.

$$\frac{28\times 3}{5\left(2\times 3+2\right)}$$

Multiply 28 and 3 to get 84.

$$\frac{84}{5\left(2\times 3+2\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{84}{5\left(6+2\right)}$$

Add 6 and 2 to get 8.

$$\frac{84}{5\times 8}$$

Multiply 5 and 8 to get 40.

$$\frac{84}{40}$$

Reduce the fraction \frac{84}{40} to lowest terms by extracting and canceling out 4.

$$\frac{21}{10}$$

Factor

$$\frac{3 \cdot 7}{2 \cdot 5} = 2\frac{1}{10} = 2.1$$