Solve 11/4div12/5quad1

$$1 \frac { 1 } { 4 } \div 1 \frac { 2 } { 5 } \quad 1$$

Evaluate

$$\frac{25}{28}\approx 0.892857143$$

Solution Steps

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

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

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 5 and 5 to get 25.

$$\frac{25}{4\left(1\times 5+2\right)}\times 1$$

Multiply 1 and 5 to get 5.

$$\frac{25}{4\left(5+2\right)}\times 1$$

Add 5 and 2 to get 7.

$$\frac{25}{4\times 7}\times 1$$

Multiply 4 and 7 to get 28.

$$\frac{25}{28}\times 1$$

Multiply \frac{25}{28} and 1 to get \frac{25}{28}.

$$\frac{25}{28}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 7} = 0.8928571428571429$$