Solve 11/4%text{of}56?

$$1 \frac { 1 } { 4 } \% \text { of } 56 ?$$

Evaluate

$$\frac{7}{10}=0.7$$

Solution Steps

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

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

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

$$\frac{5}{4\times 100}\times 56$$

Multiply 4 and 100 to get 400.

$$\frac{5}{400}\times 56$$

Reduce the fraction \frac{5}{400} to lowest terms by extracting and canceling out 5.

$$\frac{1}{80}\times 56$$

Multiply \frac{1}{80} and 56 to get \frac{56}{80}.

$$\frac{56}{80}$$

Reduce the fraction \frac{56}{80} to lowest terms by extracting and canceling out 8.

$$\frac{7}{10}$$

Factor

$$\frac{7}{2 \cdot 5} = 0.7$$