Solve (4*11/5-2div31/3)

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

Evaluate

$$\frac{21}{5}=4.2$$

Solution Steps

Multiply 1 and 5 to get 5.

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

Add 5 and 1 to get 6.

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

Express 4\times \frac{6}{5} as a single fraction.

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

Multiply 4 and 6 to get 24.

$$\frac{24}{5}-\frac{2}{\frac{3\times 3+1}{3}}$$

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

$$\frac{24}{5}-\frac{2\times 3}{3\times 3+1}$$

Multiply 2 and 3 to get 6.

$$\frac{24}{5}-\frac{6}{3\times 3+1}$$

Multiply 3 and 3 to get 9.

$$\frac{24}{5}-\frac{6}{9+1}$$

Add 9 and 1 to get 10.

$$\frac{24}{5}-\frac{6}{10}$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{24}{5}-\frac{3}{5}$$

Since \frac{24}{5} and \frac{3}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-3}{5}$$

Subtract 3 from 24 to get 21.

$$\frac{21}{5}$$

Factor

$$\frac{3 \cdot 7}{5} = 4\frac{1}{5} = 4.2$$