Solve 43/5div2/3

$$4 \frac { 3 } { 5 } \div \frac { 2 } { 3 }$$

Evaluate

$$\frac{69}{10}=6.9$$

Solution Steps

Divide \frac{4\times 5+3}{5} by \frac{2}{3} by multiplying \frac{4\times 5+3}{5} by the reciprocal of \frac{2}{3}.

$$\frac{\left(4\times 5+3\right)\times 3}{5\times 2}$$

Multiply 4 and 5 to get 20.

$$\frac{\left(20+3\right)\times 3}{5\times 2}$$

Add 20 and 3 to get 23.

$$\frac{23\times 3}{5\times 2}$$

Multiply 23 and 3 to get 69.

$$\frac{69}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$\frac{69}{10}$$

Factor

$$\frac{3 \cdot 23}{2 \cdot 5} = 6\frac{9}{10} = 6.9$$