Solve 141/4%text{of}80

$$14 \frac { 1 } { 4 } \% \text { of } 80$$

Evaluate

$$\frac{57}{5}=11.4$$

Solution Steps

Express \frac{\frac{14\times 4+1}{4}}{100} as a single fraction.

$$\frac{14\times 4+1}{4\times 100}\times 80$$

Multiply 14 and 4 to get 56.

$$\frac{56+1}{4\times 100}\times 80$$

Add 56 and 1 to get 57.

$$\frac{57}{4\times 100}\times 80$$

Multiply 4 and 100 to get 400.

$$\frac{57}{400}\times 80$$

Express \frac{57}{400}\times 80 as a single fraction.

$$\frac{57\times 80}{400}$$

Multiply 57 and 80 to get 4560.

$$\frac{4560}{400}$$

Reduce the fraction \frac{4560}{400} to lowest terms by extracting and canceling out 80.

$$\frac{57}{5}$$

Factor

$$\frac{3 \cdot 19}{5} = 11\frac{2}{5} = 11.4$$