Solve 13/4div62/5

$$1 \frac { 3 } { 4 } \div 6 \frac { 2 } { 5 }$$

Evaluate

$$\frac{35}{128}=0.2734375$$

Solution Steps

Divide \frac{1\times 4+3}{4} by \frac{6\times 5+2}{5} by multiplying \frac{1\times 4+3}{4} by the reciprocal of \frac{6\times 5+2}{5}.

$$\frac{\left(1\times 4+3\right)\times 5}{4\left(6\times 5+2\right)}$$

Multiply 1 and 4 to get 4.

$$\frac{\left(4+3\right)\times 5}{4\left(6\times 5+2\right)}$$

Add 4 and 3 to get 7.

$$\frac{7\times 5}{4\left(6\times 5+2\right)}$$

Multiply 7 and 5 to get 35.

$$\frac{35}{4\left(6\times 5+2\right)}$$

Multiply 6 and 5 to get 30.

$$\frac{35}{4\left(30+2\right)}$$

Add 30 and 2 to get 32.

$$\frac{35}{4\times 32}$$

Multiply 4 and 32 to get 128.

$$\frac{35}{128}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {7}} = 0.2734375$$