Solve 1+5(191/14)/-3

$$\frac { 1 + 5 ( \frac { 191 } { 14 } ) } { - 3 }$$

Evaluate

$$-\frac{323}{14}\approx -23.071428571$$

Solution Steps

Express 5\times \frac{191}{14} as a single fraction.

$$\frac{1+\frac{5\times 191}{14}}{-3}$$

Multiply 5 and 191 to get 955.

$$\frac{1+\frac{955}{14}}{-3}$$

Convert 1 to fraction \frac{14}{14}.

$$\frac{\frac{14}{14}+\frac{955}{14}}{-3}$$

Since \frac{14}{14} and \frac{955}{14} have the same denominator, add them by adding their numerators.

$$\frac{\frac{14+955}{14}}{-3}$$

Add 14 and 955 to get 969.

$$\frac{\frac{969}{14}}{-3}$$

Express \frac{\frac{969}{14}}{-3} as a single fraction.

$$\frac{969}{14\left(-3\right)}$$

Multiply 14 and -3 to get -42.

$$\frac{969}{-42}$$

Reduce the fraction \frac{969}{-42} to lowest terms by extracting and canceling out 3.

$$-\frac{323}{14}$$

Factor

$$-\frac{323}{14} = -23\frac{1}{14} = -23.071428571428573$$