Solve 31/2div2/5

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

Evaluate

$$\frac{35}{4}=8.75$$

Solution Steps

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

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

Multiply 3 and 2 to get 6.

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

Add 6 and 1 to get 7.

$$\frac{7\times 5}{2\times 2}$$

Multiply 7 and 5 to get 35.

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

Multiply 2 and 2 to get 4.

$$\frac{35}{4}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2}} = 8\frac{3}{4} = 8.75$$