Solve 7/8*(-11/3)^2/frac{3{4}+11/8}

$$\frac { \frac { 7 } { 8 } \times ( - 1 \frac { 1 } { 3 } ) ^ { 2 } } { \frac { 3 } { 4 } + 1 \frac { 1 } { 8 } }$$

Evaluate

$$\frac{112}{135}\approx 0.82962963$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{\frac{7}{8}\left(-\frac{3+1}{3}\right)^{2}}{\frac{3}{4}+\frac{1\times 8+1}{8}}$$

Add 3 and 1 to get 4.

$$\frac{\frac{7}{8}\left(-\frac{4}{3}\right)^{2}}{\frac{3}{4}+\frac{1\times 8+1}{8}}$$

Calculate -\frac{4}{3} to the power of 2 and get \frac{16}{9}.

$$\frac{\frac{7}{8}\times \frac{16}{9}}{\frac{3}{4}+\frac{1\times 8+1}{8}}$$

Multiply \frac{7}{8} and \frac{16}{9} to get \frac{14}{9}.

$$\frac{\frac{14}{9}}{\frac{3}{4}+\frac{1\times 8+1}{8}}$$

Multiply 1 and 8 to get 8.

$$\frac{\frac{14}{9}}{\frac{3}{4}+\frac{8+1}{8}}$$

Add 8 and 1 to get 9.

$$\frac{\frac{14}{9}}{\frac{3}{4}+\frac{9}{8}}$$

Add \frac{3}{4} and \frac{9}{8} to get \frac{15}{8}.

$$\frac{\frac{14}{9}}{\frac{15}{8}}$$

Divide \frac{14}{9} by \frac{15}{8} by multiplying \frac{14}{9} by the reciprocal of \frac{15}{8}.

$$\frac{14}{9}\times \frac{8}{15}$$

Multiply \frac{14}{9} and \frac{8}{15} to get \frac{112}{135}.

$$\frac{112}{135}$$

Factor

$$\frac{2 ^ {4} \cdot 7}{3 ^ {3} \cdot 5} = 0.8296296296296296$$