Solve 121/2%text{of}220

$$12 \frac { 1 } { 2 } \% \text { of } 220$$

Evaluate

$$\frac{55}{2}=27.5$$

Solution Steps

Express \frac{\frac{12\times 2+1}{2}}{100} as a single fraction.

$$\frac{12\times 2+1}{2\times 100}\times 220$$

Multiply 12 and 2 to get 24.

$$\frac{24+1}{2\times 100}\times 220$$

Add 24 and 1 to get 25.

$$\frac{25}{2\times 100}\times 220$$

Multiply 2 and 100 to get 200.

$$\frac{25}{200}\times 220$$

Reduce the fraction \frac{25}{200} to lowest terms by extracting and canceling out 25.

$$\frac{1}{8}\times 220$$

Multiply \frac{1}{8} and 220 to get \frac{220}{8}.

$$\frac{220}{8}$$

Reduce the fraction \frac{220}{8} to lowest terms by extracting and canceling out 4.

$$\frac{55}{2}$$

Factor

$$\frac{5 \cdot 11}{2} = 27\frac{1}{2} = 27.5$$