Solve 51/2div12/5

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

Evaluate

$$\frac{55}{14}\approx 3.928571429$$

Solution Steps

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

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

Multiply 5 and 2 to get 10.

$$\frac{\left(10+1\right)\times 5}{2\left(1\times 5+2\right)}$$

Add 10 and 1 to get 11.

$$\frac{11\times 5}{2\left(1\times 5+2\right)}$$

Multiply 11 and 5 to get 55.

$$\frac{55}{2\left(1\times 5+2\right)}$$

Multiply 1 and 5 to get 5.

$$\frac{55}{2\left(5+2\right)}$$

Add 5 and 2 to get 7.

$$\frac{55}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$\frac{55}{14}$$

Factor

$$\frac{5 \cdot 11}{2 \cdot 7} = 3\frac{13}{14} = 3.9285714285714284$$