Solve (7-33/14)*4/2

$$\frac { ( 7 - \frac { 33 } { 14 } ) \times 4 } { 2 }$$

Evaluate

$$\frac{65}{7}\approx 9.285714286$$

Solution Steps

Convert 7 to fraction \frac{98}{14}.

$$\frac{\left(\frac{98}{14}-\frac{33}{14}\right)\times 4}{2}$$

Since \frac{98}{14} and \frac{33}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{98-33}{14}\times 4}{2}$$

Subtract 33 from 98 to get 65.

$$\frac{\frac{65}{14}\times 4}{2}$$

Express \frac{65}{14}\times 4 as a single fraction.

$$\frac{\frac{65\times 4}{14}}{2}$$

Multiply 65 and 4 to get 260.

$$\frac{\frac{260}{14}}{2}$$

Reduce the fraction \frac{260}{14} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{130}{7}}{2}$$

Express \frac{\frac{130}{7}}{2} as a single fraction.

$$\frac{130}{7\times 2}$$

Multiply 7 and 2 to get 14.

$$\frac{130}{14}$$

Reduce the fraction \frac{130}{14} to lowest terms by extracting and canceling out 2.

$$\frac{65}{7}$$

Factor

$$\frac{5 \cdot 13}{7} = 9\frac{2}{7} = 9.285714285714286$$