Solve 31/2%text{of}5290

$$3 \frac { 1 } { 2 } \% \text { of } 5290$$

Evaluate

$$\frac{3703}{20}=185.15$$

Solution Steps

Express \frac{\frac{3\times 2+1}{2}}{100} as a single fraction.

$$\frac{3\times 2+1}{2\times 100}\times 5290$$

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2\times 100}\times 5290$$

Add 6 and 1 to get 7.

$$\frac{7}{2\times 100}\times 5290$$

Multiply 2 and 100 to get 200.

$$\frac{7}{200}\times 5290$$

Express \frac{7}{200}\times 5290 as a single fraction.

$$\frac{7\times 5290}{200}$$

Multiply 7 and 5290 to get 37030.

$$\frac{37030}{200}$$

Reduce the fraction \frac{37030}{200} to lowest terms by extracting and canceling out 10.

$$\frac{3703}{20}$$

Factor

$$\frac{7 \cdot 23 ^ {2}}{2 ^ {2} \cdot 5} = 185\frac{3}{20} = 185.15$$