Solve 51/4%text{of}76

$$5 \frac { 1 } { 4 } \% \text { of } 76$$

Evaluate

$$\frac{399}{100}=3.99$$

Solution Steps

Express \frac{\frac{5\times 4+1}{4}}{100} as a single fraction.

$$\frac{5\times 4+1}{4\times 100}\times 76$$

Multiply 5 and 4 to get 20.

$$\frac{20+1}{4\times 100}\times 76$$

Add 20 and 1 to get 21.

$$\frac{21}{4\times 100}\times 76$$

Multiply 4 and 100 to get 400.

$$\frac{21}{400}\times 76$$

Express \frac{21}{400}\times 76 as a single fraction.

$$\frac{21\times 76}{400}$$

Multiply 21 and 76 to get 1596.

$$\frac{1596}{400}$$

Reduce the fraction \frac{1596}{400} to lowest terms by extracting and canceling out 4.

$$\frac{399}{100}$$

Factor

$$\frac{3 \cdot 7 \cdot 19}{2 ^ {2} \cdot 5 ^ {2}} = 3\frac{99}{100} = 3.99$$