Solve 51/2%text{of}120cm

$$5 \frac { 1 } { 2 } \% \text { of } 120 cm$$

Evaluate

$$\frac{33cm}{5}$$

Solution Steps

Express \frac{\frac{5\times 2+1}{2}}{100} as a single fraction.

$$\frac{5\times 2+1}{2\times 100}\times 120cm$$

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2\times 100}\times 120cm$$

Add 10 and 1 to get 11.

$$\frac{11}{2\times 100}\times 120cm$$

Multiply 2 and 100 to get 200.

$$\frac{11}{200}\times 120cm$$

Express \frac{11}{200}\times 120 as a single fraction.

$$\frac{11\times 120}{200}cm$$

Multiply 11 and 120 to get 1320.

$$\frac{1320}{200}cm$$

Reduce the fraction \frac{1320}{200} to lowest terms by extracting and canceling out 40.

$$\frac{33}{5}cm$$

Expand

$$\frac{33cm}{5}$$

Solution Steps

Express \frac{\frac{5\times 2+1}{2}}{100} as a single fraction.

$$\frac{5\times 2+1}{2\times 100}\times 120cm$$

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2\times 100}\times 120cm$$

Add 10 and 1 to get 11.

$$\frac{11}{2\times 100}\times 120cm$$

Multiply 2 and 100 to get 200.

$$\frac{11}{200}\times 120cm$$

Express \frac{11}{200}\times 120 as a single fraction.

$$\frac{11\times 120}{200}cm$$

Multiply 11 and 120 to get 1320.

$$\frac{1320}{200}cm$$

Reduce the fraction \frac{1320}{200} to lowest terms by extracting and canceling out 40.

$$\frac{33}{5}cm$$