Solve (-341)-(-059)quadtext{(2)}(-134/7)-(-135/7)

$$( - 341 ) - ( - 059 ) \quad \text { (2) } ( - 13 \frac { 4 } { 7 } ) - ( - 13 \frac { 5 } { 7 } )$$

Evaluate

$$-\frac{13501}{7}\approx -1928.714285714$$

Solution Steps

Multiply -59 and 2 to get -118.

$$-341-\left(-118\left(-\frac{13\times 7+4}{7}\right)\right)-\left(-\frac{13\times 7+5}{7}\right)$$

Multiply 13 and 7 to get 91.

$$-341-\left(-118\left(-\frac{91+4}{7}\right)\right)-\left(-\frac{13\times 7+5}{7}\right)$$

Add 91 and 4 to get 95.

$$-341-\left(-118\left(-\frac{95}{7}\right)\right)-\left(-\frac{13\times 7+5}{7}\right)$$

Express -118\left(-\frac{95}{7}\right) as a single fraction.

$$-341-\frac{-118\left(-95\right)}{7}-\left(-\frac{13\times 7+5}{7}\right)$$

Multiply -118 and -95 to get 11210.

$$-341-\frac{11210}{7}-\left(-\frac{13\times 7+5}{7}\right)$$

Convert -341 to fraction -\frac{2387}{7}.

$$-\frac{2387}{7}-\frac{11210}{7}-\left(-\frac{13\times 7+5}{7}\right)$$

Since -\frac{2387}{7} and \frac{11210}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2387-11210}{7}-\left(-\frac{13\times 7+5}{7}\right)$$

Subtract 11210 from -2387 to get -13597.

$$-\frac{13597}{7}-\left(-\frac{13\times 7+5}{7}\right)$$

Multiply 13 and 7 to get 91.

$$-\frac{13597}{7}-\left(-\frac{91+5}{7}\right)$$

Add 91 and 5 to get 96.

$$-\frac{13597}{7}-\left(-\frac{96}{7}\right)$$

The opposite of -\frac{96}{7} is \frac{96}{7}.

$$-\frac{13597}{7}+\frac{96}{7}$$

Since -\frac{13597}{7} and \frac{96}{7} have the same denominator, add them by adding their numerators.

$$\frac{-13597+96}{7}$$

Add -13597 and 96 to get -13501.

$$-\frac{13501}{7}$$

Factor

$$-\frac{13501}{7} = -1928\frac{5}{7} = -1928.7142857142858$$