Solve (-5)*71/3+7*(-71/3)-12div(-3/22)

$$( - 5 ) \times 7 \frac { 1 } { 3 } + 7 \times ( - 7 \frac { 1 } { 3 } ) - 12 \div ( - \frac { 3 } { 22 } )$$

Evaluate

$$0$$

Solution Steps

Multiply 7 and 3 to get 21.

$$-5\times \frac{21+1}{3}+7\left(-\frac{7\times 3+1}{3}\right)-\frac{12}{-\frac{3}{22}}$$

Add 21 and 1 to get 22.

$$-5\times \frac{22}{3}+7\left(-\frac{7\times 3+1}{3}\right)-\frac{12}{-\frac{3}{22}}$$

Express -5\times \frac{22}{3} as a single fraction.

$$\frac{-5\times 22}{3}+7\left(-\frac{7\times 3+1}{3}\right)-\frac{12}{-\frac{3}{22}}$$

Multiply -5 and 22 to get -110.

$$\frac{-110}{3}+7\left(-\frac{7\times 3+1}{3}\right)-\frac{12}{-\frac{3}{22}}$$

Fraction \frac{-110}{3} can be rewritten as -\frac{110}{3} by extracting the negative sign.

$$-\frac{110}{3}+7\left(-\frac{7\times 3+1}{3}\right)-\frac{12}{-\frac{3}{22}}$$

Multiply 7 and 3 to get 21.

$$-\frac{110}{3}+7\left(-\frac{21+1}{3}\right)-\frac{12}{-\frac{3}{22}}$$

Add 21 and 1 to get 22.

$$-\frac{110}{3}+7\left(-\frac{22}{3}\right)-\frac{12}{-\frac{3}{22}}$$

Express 7\left(-\frac{22}{3}\right) as a single fraction.

$$-\frac{110}{3}+\frac{7\left(-22\right)}{3}-\frac{12}{-\frac{3}{22}}$$

Multiply 7 and -22 to get -154.

$$-\frac{110}{3}+\frac{-154}{3}-\frac{12}{-\frac{3}{22}}$$

Fraction \frac{-154}{3} can be rewritten as -\frac{154}{3} by extracting the negative sign.

$$-\frac{110}{3}-\frac{154}{3}-\frac{12}{-\frac{3}{22}}$$

Since -\frac{110}{3} and \frac{154}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-110-154}{3}-\frac{12}{-\frac{3}{22}}$$

Subtract 154 from -110 to get -264.

$$\frac{-264}{3}-\frac{12}{-\frac{3}{22}}$$

Divide -264 by 3 to get -88.

$$-88-\frac{12}{-\frac{3}{22}}$$

Divide 12 by -\frac{3}{22} by multiplying 12 by the reciprocal of -\frac{3}{22}.

$$-88-12\left(-\frac{22}{3}\right)$$

Express 12\left(-\frac{22}{3}\right) as a single fraction.

$$-88-\frac{12\left(-22\right)}{3}$$

Multiply 12 and -22 to get -264.

$$-88-\frac{-264}{3}$$

Divide -264 by 3 to get -88.

$$-88-\left(-88\right)$$

The opposite of -88 is 88.

$$-88+88$$

Add -88 and 88 to get 0.

$$0$$

Factor

$$0$$