Solve 621/2%text{of}576

$$62 \frac { 1 } { 2 } \% \text { of } 576$$

Evaluate

$$360$$

Solution Steps

Express \frac{\frac{62\times 2+1}{2}}{100} as a single fraction.

$$\frac{62\times 2+1}{2\times 100}\times 576$$

Multiply 62 and 2 to get 124.

$$\frac{124+1}{2\times 100}\times 576$$

Add 124 and 1 to get 125.

$$\frac{125}{2\times 100}\times 576$$

Multiply 2 and 100 to get 200.

$$\frac{125}{200}\times 576$$

Reduce the fraction \frac{125}{200} to lowest terms by extracting and canceling out 25.

$$\frac{5}{8}\times 576$$

Express \frac{5}{8}\times 576 as a single fraction.

$$\frac{5\times 576}{8}$$

Multiply 5 and 576 to get 2880.

$$\frac{2880}{8}$$

Divide 2880 by 8 to get 360.

$$360$$

Factor

$$2^{3}\times 3^{2}\times 5$$