Solve 81/2div(64/5)

$$8 \frac { 1 } { 2 } \div ( 6 \frac { 4 } { 5 } )$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Divide \frac{8\times 2+1}{2} by \frac{6\times 5+4}{5} by multiplying \frac{8\times 2+1}{2} by the reciprocal of \frac{6\times 5+4}{5}.

$$\frac{\left(8\times 2+1\right)\times 5}{2\left(6\times 5+4\right)}$$

Multiply 8 and 2 to get 16.

$$\frac{\left(16+1\right)\times 5}{2\left(6\times 5+4\right)}$$

Add 16 and 1 to get 17.

$$\frac{17\times 5}{2\left(6\times 5+4\right)}$$

Multiply 17 and 5 to get 85.

$$\frac{85}{2\left(6\times 5+4\right)}$$

Multiply 6 and 5 to get 30.

$$\frac{85}{2\left(30+4\right)}$$

Add 30 and 4 to get 34.

$$\frac{85}{2\times 34}$$

Multiply 2 and 34 to get 68.

$$\frac{85}{68}$$

Reduce the fraction \frac{85}{68} to lowest terms by extracting and canceling out 17.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$