Solve 23/5div31/3=

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

Evaluate

$$\frac{39}{50}=0.78$$

Solution Steps

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

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

Multiply 2 and 5 to get 10.

$$\frac{\left(10+3\right)\times 3}{5\left(3\times 3+1\right)}$$

Add 10 and 3 to get 13.

$$\frac{13\times 3}{5\left(3\times 3+1\right)}$$

Multiply 13 and 3 to get 39.

$$\frac{39}{5\left(3\times 3+1\right)}$$

Multiply 3 and 3 to get 9.

$$\frac{39}{5\left(9+1\right)}$$

Add 9 and 1 to get 10.

$$\frac{39}{5\times 10}$$

Multiply 5 and 10 to get 50.

$$\frac{39}{50}$$

Factor

$$\frac{3 \cdot 13}{2 \cdot 5 ^ {2}} = 0.78$$