Solve -5/17*21-5/17*13

$$- \frac { 5 } { 17 } \times 21 - \frac { 5 } { 17 } \times 13$$

Evaluate

$$-10$$

Solution Steps

Express -\frac{5}{17}\times 21 as a single fraction.

$$\frac{-5\times 21}{17}-\frac{5}{17}\times 13$$

Multiply -5 and 21 to get -105.

$$\frac{-105}{17}-\frac{5}{17}\times 13$$

Fraction \frac{-105}{17} can be rewritten as -\frac{105}{17} by extracting the negative sign.

$$-\frac{105}{17}-\frac{5}{17}\times 13$$

Express \frac{5}{17}\times 13 as a single fraction.

$$-\frac{105}{17}-\frac{5\times 13}{17}$$

Multiply 5 and 13 to get 65.

$$-\frac{105}{17}-\frac{65}{17}$$

Since -\frac{105}{17} and \frac{65}{17} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-105-65}{17}$$

Subtract 65 from -105 to get -170.

$$\frac{-170}{17}$$

Divide -170 by 17 to get -10.

$$-10$$

Factor

$$-10$$