Solve 31/2div12/5

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

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

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

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

Multiply 3 and 2 to get 6.

$$\frac{\left(6+1\right)\times 5}{2\left(1\times 5+2\right)}$$

Add 6 and 1 to get 7.

$$\frac{7\times 5}{2\left(1\times 5+2\right)}$$

Multiply 7 and 5 to get 35.

$$\frac{35}{2\left(1\times 5+2\right)}$$

Multiply 1 and 5 to get 5.

$$\frac{35}{2\left(5+2\right)}$$

Add 5 and 2 to get 7.

$$\frac{35}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$\frac{35}{14}$$

Reduce the fraction \frac{35}{14} to lowest terms by extracting and canceling out 7.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$