Solve 11/2div34/5

$$1 \frac{ 1 }{ 2 } \div 3 \frac{ 4 }{ 5 }$$

Evaluate

$$\frac{15}{38}\approx 0.394736842$$

Solution Steps

Divide \frac{1\times 2+1}{2} by \frac{3\times 5+4}{5} by multiplying \frac{1\times 2+1}{2} by the reciprocal of \frac{3\times 5+4}{5}.

$$\frac{\left(1\times 2+1\right)\times 5}{2\left(3\times 5+4\right)}$$

Multiply 1 and 2 to get 2.

$$\frac{\left(2+1\right)\times 5}{2\left(3\times 5+4\right)}$$

Add 2 and 1 to get 3.

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

Multiply 3 and 5 to get 15.

$$\frac{15}{2\left(3\times 5+4\right)}$$

Multiply 3 and 5 to get 15.

$$\frac{15}{2\left(15+4\right)}$$

Add 15 and 4 to get 19.

$$\frac{15}{2\times 19}$$

Multiply 2 and 19 to get 38.

$$\frac{15}{38}$$

Factor

$$\frac{3 \cdot 5}{2 \cdot 19} = 0.39473684210526316$$