Solve 3*(-3/4)+6*3/4-4/7*(-frac{3{4})^-1+2}

$$\frac { 3 \cdot ( - \frac { 3 } { 4 } ) + 6 \cdot \frac { 3 } { 4 } - 4 } { 7 \cdot ( - \frac { 3 } { 4 } ) ^ { - 1 } + 2 }$$

Evaluate

$$\frac{21}{88}\approx 0.238636364$$

Solution Steps

Multiply 3 and -\frac{3}{4} to get -\frac{9}{4}.

$$\frac{-\frac{9}{4}+6\times \frac{3}{4}-4}{7\left(-\frac{3}{4}\right)^{-1}+2}$$

Multiply 6 and \frac{3}{4} to get \frac{9}{2}.

$$\frac{-\frac{9}{4}+\frac{9}{2}-4}{7\left(-\frac{3}{4}\right)^{-1}+2}$$

Add -\frac{9}{4} and \frac{9}{2} to get \frac{9}{4}.

$$\frac{\frac{9}{4}-4}{7\left(-\frac{3}{4}\right)^{-1}+2}$$

Subtract 4 from \frac{9}{4} to get -\frac{7}{4}.

$$\frac{-\frac{7}{4}}{7\left(-\frac{3}{4}\right)^{-1}+2}$$

Calculate -\frac{3}{4} to the power of -1 and get -\frac{4}{3}.

$$\frac{-\frac{7}{4}}{7\left(-\frac{4}{3}\right)+2}$$

Multiply 7 and -\frac{4}{3} to get -\frac{28}{3}.

$$\frac{-\frac{7}{4}}{-\frac{28}{3}+2}$$

Add -\frac{28}{3} and 2 to get -\frac{22}{3}.

$$\frac{-\frac{7}{4}}{-\frac{22}{3}}$$

Divide -\frac{7}{4} by -\frac{22}{3} by multiplying -\frac{7}{4} by the reciprocal of -\frac{22}{3}.

$$-\frac{7}{4}\left(-\frac{3}{22}\right)$$

Multiply -\frac{7}{4} and -\frac{3}{22} to get \frac{21}{88}.

$$\frac{21}{88}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {3} \cdot 11} = 0.23863636363636365$$