Solve 121/2div21/2=

$$12 \frac { 1 } { 2 } \div 2 \frac { 1 } { 2 } =$$

Evaluate

$$5$$

Solution Steps

Divide \frac{12\times 2+1}{2} by \frac{2\times 2+1}{2} by multiplying \frac{12\times 2+1}{2} by the reciprocal of \frac{2\times 2+1}{2}.

$$\frac{\left(12\times 2+1\right)\times 2}{2\left(2\times 2+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1+2\times 12}{1+2\times 2}$$

Multiply 2 and 12 to get 24.

$$\frac{1+24}{1+2\times 2}$$

Add 1 and 24 to get 25.

$$\frac{25}{1+2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{25}{1+4}$$

Add 1 and 4 to get 5.

$$\frac{25}{5}$$

Divide 25 by 5 to get 5.

$$5$$

Factor

$$5$$