Solve 711/4-11/4

$$7 \frac { 11 } { 4 } - 1 \frac { 1 } { 4 }$$

Evaluate

$$\frac{17}{2}=8.5$$

Solution Steps

Multiply 7 and 4 to get 28.

$$\frac{28+11}{4}-\frac{1\times 4+1}{4}$$

Add 28 and 11 to get 39.

$$\frac{39}{4}-\frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{39}{4}-\frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{39}{4}-\frac{5}{4}$$

Since \frac{39}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-5}{4}$$

Subtract 5 from 39 to get 34.

$$\frac{34}{4}$$

Reduce the fraction \frac{34}{4} to lowest terms by extracting and canceling out 2.

$$\frac{17}{2}$$

Factor

$$\frac{17}{2} = 8\frac{1}{2} = 8.5$$