Solve 4div12/3+6*3/5

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

Evaluate

$$6$$

Solution Steps

Divide 4 by \frac{1\times 3+2}{3} by multiplying 4 by the reciprocal of \frac{1\times 3+2}{3}.

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

Multiply 4 and 3 to get 12.

$$\frac{12}{1\times 3+2}+6\times \frac{3}{5}$$

Multiply 1 and 3 to get 3.

$$\frac{12}{3+2}+6\times \frac{3}{5}$$

Add 3 and 2 to get 5.

$$\frac{12}{5}+6\times \frac{3}{5}$$

Express 6\times \frac{3}{5} as a single fraction.

$$\frac{12}{5}+\frac{6\times 3}{5}$$

Multiply 6 and 3 to get 18.

$$\frac{12}{5}+\frac{18}{5}$$

Since \frac{12}{5} and \frac{18}{5} have the same denominator, add them by adding their numerators.

$$\frac{12+18}{5}$$

Add 12 and 18 to get 30.

$$\frac{30}{5}$$

Divide 30 by 5 to get 6.

$$6$$

Factor

$$2\times 3$$