Solve 71/2div11/5

$$7 \frac { 1 } { 2 } \div 1 \frac { 1 } { 5 }$$

Evaluate

$$\frac{25}{4}=6.25$$

Solution Steps

Divide \frac{7\times 2+1}{2} by \frac{1\times 5+1}{5} by multiplying \frac{7\times 2+1}{2} by the reciprocal of \frac{1\times 5+1}{5}.

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

Multiply 7 and 2 to get 14.

$$\frac{\left(14+1\right)\times 5}{2\left(1\times 5+1\right)}$$

Add 14 and 1 to get 15.

$$\frac{15\times 5}{2\left(1\times 5+1\right)}$$

Multiply 15 and 5 to get 75.

$$\frac{75}{2\left(1\times 5+1\right)}$$

Multiply 1 and 5 to get 5.

$$\frac{75}{2\left(5+1\right)}$$

Add 5 and 1 to get 6.

$$\frac{75}{2\times 6}$$

Multiply 2 and 6 to get 12.

$$\frac{75}{12}$$

Reduce the fraction \frac{75}{12} to lowest terms by extracting and canceling out 3.

$$\frac{25}{4}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2}} = 6\frac{1}{4} = 6.25$$