Solve (-3.41)-(-0.59)quadtext{(2)}(-134/7)-(-135/7)

$$( - 3.41 ) - ( - 0.59 ) \quad \text { (2) } ( - 13 \frac { 4 } { 7 } ) - ( - 13 \frac { 5 } { 7 } )$$

Evaluate

$$-5.71$$

Solution Steps

Multiply -0.59 and 2 to get -1.18.

$$-3.41-\left(-1.18\left(-\frac{13\times 7+4}{7}\right)\right)-\left(-\frac{13\times 7+5}{7}\right)$$

Multiply 13 and 7 to get 91.

$$-3.41-\left(-1.18\left(-\frac{91+4}{7}\right)\right)-\left(-\frac{13\times 7+5}{7}\right)$$

Add 91 and 4 to get 95.

$$-3.41-\left(-1.18\left(-\frac{95}{7}\right)\right)-\left(-\frac{13\times 7+5}{7}\right)$$

Convert decimal number -1.18 to fraction -\frac{118}{100}. Reduce the fraction -\frac{118}{100} to lowest terms by extracting and canceling out 2.

$$-3.41-\left(-\frac{59}{50}\left(-\frac{95}{7}\right)\right)-\left(-\frac{13\times 7+5}{7}\right)$$

Multiply -\frac{59}{50} times -\frac{95}{7} by multiplying numerator times numerator and denominator times denominator.

$$-3.41-\frac{-59\left(-95\right)}{50\times 7}-\left(-\frac{13\times 7+5}{7}\right)$$

Do the multiplications in the fraction \frac{-59\left(-95\right)}{50\times 7}.

$$-3.41-\frac{5605}{350}-\left(-\frac{13\times 7+5}{7}\right)$$

Reduce the fraction \frac{5605}{350} to lowest terms by extracting and canceling out 5.

$$-3.41-\frac{1121}{70}-\left(-\frac{13\times 7+5}{7}\right)$$

Convert decimal number -3.41 to fraction -\frac{341}{100}.

$$-\frac{341}{100}-\frac{1121}{70}-\left(-\frac{13\times 7+5}{7}\right)$$

Least common multiple of 100 and 70 is 700. Convert -\frac{341}{100} and \frac{1121}{70} to fractions with denominator 700.

$$-\frac{2387}{700}-\frac{11210}{700}-\left(-\frac{13\times 7+5}{7}\right)$$

Since -\frac{2387}{700} and \frac{11210}{700} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2387-11210}{700}-\left(-\frac{13\times 7+5}{7}\right)$$

Subtract 11210 from -2387 to get -13597.

$$-\frac{13597}{700}-\left(-\frac{13\times 7+5}{7}\right)$$

Multiply 13 and 7 to get 91.

$$-\frac{13597}{700}-\left(-\frac{91+5}{7}\right)$$

Add 91 and 5 to get 96.

$$-\frac{13597}{700}-\left(-\frac{96}{7}\right)$$

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

$$-\frac{13597}{700}+\frac{96}{7}$$

Least common multiple of 700 and 7 is 700. Convert -\frac{13597}{700} and \frac{96}{7} to fractions with denominator 700.

$$-\frac{13597}{700}+\frac{9600}{700}$$

Since -\frac{13597}{700} and \frac{9600}{700} have the same denominator, add them by adding their numerators.

$$\frac{-13597+9600}{700}$$

Add -13597 and 9600 to get -3997.

$$\frac{-3997}{700}$$

Reduce the fraction \frac{-3997}{700} to lowest terms by extracting and canceling out 7.

$$-\frac{571}{100}$$

Factor

$$-5.71$$