Solve 23/5div11/2

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

Evaluate

$$\frac{26}{15}\approx 1.733333333$$

Solution Steps

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

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

Multiply 2 and 5 to get 10.

$$\frac{\left(10+3\right)\times 2}{5\left(1\times 2+1\right)}$$

Add 10 and 3 to get 13.

$$\frac{13\times 2}{5\left(1\times 2+1\right)}$$

Multiply 13 and 2 to get 26.

$$\frac{26}{5\left(1\times 2+1\right)}$$

Multiply 1 and 2 to get 2.

$$\frac{26}{5\left(2+1\right)}$$

Add 2 and 1 to get 3.

$$\frac{26}{5\times 3}$$

Multiply 5 and 3 to get 15.

$$\frac{26}{15}$$

Factor

$$\frac{2 \cdot 13}{3 \cdot 5} = 1\frac{11}{15} = 1.7333333333333334$$