Solve 331/3%text{of}48+121/2%text{of}96quad444/9%text{of}27

$$33 \frac { 1 } { 3 } \% \text { of } 48 + 12 \frac { 1 } { 2 } \% \text { of } 96 \quad 44 \frac { 4 } { 9 } \% \text { of } 27$$

Evaluate

$$160$$

Solution Steps

Express \frac{\frac{33\times 3+1}{3}}{100} as a single fraction.

$$\frac{33\times 3+1}{3\times 100}\times 48+\frac{\frac{12\times 2+1}{2}}{100}\times 96\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

Multiply 33 and 3 to get 99.

$$\frac{99+1}{3\times 100}\times 48+\frac{\frac{12\times 2+1}{2}}{100}\times 96\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

Add 99 and 1 to get 100.

$$\frac{100}{3\times 100}\times 48+\frac{\frac{12\times 2+1}{2}}{100}\times 96\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

Multiply 3 and 100 to get 300.

$$\frac{100}{300}\times 48+\frac{\frac{12\times 2+1}{2}}{100}\times 96\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

Reduce the fraction \frac{100}{300} to lowest terms by extracting and canceling out 100.

$$\frac{1}{3}\times 48+\frac{\frac{12\times 2+1}{2}}{100}\times 96\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

Multiply \frac{1}{3} and 48 to get \frac{48}{3}.

$$\frac{48}{3}+\frac{\frac{12\times 2+1}{2}}{100}\times 96\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

Divide 48 by 3 to get 16.

$$16+\frac{\frac{12\times 2+1}{2}}{100}\times 96\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

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

$$16+\frac{12\times 2+1}{2\times 100}\times 96\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

Multiply 12 and 2 to get 24.

$$16+\frac{24+1}{2\times 100}\times 96\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

Add 24 and 1 to get 25.

$$16+\frac{25}{2\times 100}\times 96\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

Multiply 2 and 100 to get 200.

$$16+\frac{25}{200}\times 96\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

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

$$16+\frac{1}{8}\times 96\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

Multiply \frac{1}{8} and 96 to get \frac{96}{8}.

$$16+\frac{96}{8}\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

Divide 96 by 8 to get 12.

$$16+12\times \frac{\frac{44\times 9+4}{9}}{100}\times 27$$

Express \frac{\frac{44\times 9+4}{9}}{100} as a single fraction.

$$16+12\times \frac{44\times 9+4}{9\times 100}\times 27$$

Multiply 44 and 9 to get 396.

$$16+12\times \frac{396+4}{9\times 100}\times 27$$

Add 396 and 4 to get 400.

$$16+12\times \frac{400}{9\times 100}\times 27$$

Multiply 9 and 100 to get 900.

$$16+12\times \frac{400}{900}\times 27$$

Reduce the fraction \frac{400}{900} to lowest terms by extracting and canceling out 100.

$$16+12\times \frac{4}{9}\times 27$$

Express 12\times \frac{4}{9} as a single fraction.

$$16+\frac{12\times 4}{9}\times 27$$

Multiply 12 and 4 to get 48.

$$16+\frac{48}{9}\times 27$$

Reduce the fraction \frac{48}{9} to lowest terms by extracting and canceling out 3.

$$16+\frac{16}{3}\times 27$$

Express \frac{16}{3}\times 27 as a single fraction.

$$16+\frac{16\times 27}{3}$$

Multiply 16 and 27 to get 432.

$$16+\frac{432}{3}$$

Divide 432 by 3 to get 144.

$$16+144$$

Add 16 and 144 to get 160.

$$160$$

Factor

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