Solve 2521/2div201/5

$$252 \frac { 1 } { 2 } \div 20 \frac { 1 } { 5 }$$

Evaluate

$$\frac{25}{2}=12.5$$

Solution Steps

Divide \frac{252\times 2+1}{2} by \frac{20\times 5+1}{5} by multiplying \frac{252\times 2+1}{2} by the reciprocal of \frac{20\times 5+1}{5}.

$$\frac{\left(252\times 2+1\right)\times 5}{2\left(20\times 5+1\right)}$$

Multiply 252 and 2 to get 504.

$$\frac{\left(504+1\right)\times 5}{2\left(20\times 5+1\right)}$$

Add 504 and 1 to get 505.

$$\frac{505\times 5}{2\left(20\times 5+1\right)}$$

Multiply 505 and 5 to get 2525.

$$\frac{2525}{2\left(20\times 5+1\right)}$$

Multiply 20 and 5 to get 100.

$$\frac{2525}{2\left(100+1\right)}$$

Add 100 and 1 to get 101.

$$\frac{2525}{2\times 101}$$

Multiply 2 and 101 to get 202.

$$\frac{2525}{202}$$

Reduce the fraction \frac{2525}{202} to lowest terms by extracting and canceling out 101.

$$\frac{25}{2}$$

Factor

$$\frac{5 ^ {2}}{2} = 12\frac{1}{2} = 12.5$$