Solve {l}{2+2*-18/7+4+}{+-36/7*4+28}

$$\left. \begin{array} { l } { 2 + 2 * - 18 / 7 + 4 + } \\ { + - 36 / 7 \times 4 + 28 } \end{array} \right.$$

Evaluate

$$\frac{58}{7}\approx 8.285714286$$

Solution Steps

Express 2\left(-\frac{18}{7}\right) as a single fraction.

$$2+\frac{2\left(-18\right)}{7}+4-\frac{36}{7}\times 4+28$$

Multiply 2 and -18 to get -36.

$$2+\frac{-36}{7}+4-\frac{36}{7}\times 4+28$$

Fraction \frac{-36}{7} can be rewritten as -\frac{36}{7} by extracting the negative sign.

$$2-\frac{36}{7}+4-\frac{36}{7}\times 4+28$$

Convert 2 to fraction \frac{14}{7}.

$$\frac{14}{7}-\frac{36}{7}+4-\frac{36}{7}\times 4+28$$

Since \frac{14}{7} and \frac{36}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-36}{7}+4-\frac{36}{7}\times 4+28$$

Subtract 36 from 14 to get -22.

$$-\frac{22}{7}+4-\frac{36}{7}\times 4+28$$

Convert 4 to fraction \frac{28}{7}.

$$-\frac{22}{7}+\frac{28}{7}-\frac{36}{7}\times 4+28$$

Since -\frac{22}{7} and \frac{28}{7} have the same denominator, add them by adding their numerators.

$$\frac{-22+28}{7}-\frac{36}{7}\times 4+28$$

Add -22 and 28 to get 6.

$$\frac{6}{7}-\frac{36}{7}\times 4+28$$

Express -\frac{36}{7}\times 4 as a single fraction.

$$\frac{6}{7}+\frac{-36\times 4}{7}+28$$

Multiply -36 and 4 to get -144.

$$\frac{6}{7}+\frac{-144}{7}+28$$

Fraction \frac{-144}{7} can be rewritten as -\frac{144}{7} by extracting the negative sign.

$$\frac{6}{7}-\frac{144}{7}+28$$

Since \frac{6}{7} and \frac{144}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-144}{7}+28$$

Subtract 144 from 6 to get -138.

$$-\frac{138}{7}+28$$

Convert 28 to fraction \frac{196}{7}.

$$-\frac{138}{7}+\frac{196}{7}$$

Since -\frac{138}{7} and \frac{196}{7} have the same denominator, add them by adding their numerators.

$$\frac{-138+196}{7}$$

Add -138 and 196 to get 58.

$$\frac{58}{7}$$

Factor

$$\frac{2 \cdot 29}{7} = 8\frac{2}{7} = 8.285714285714286$$