Solve 3*3-80-(-48)/-frac{3{4}-16/2}

$$\frac{ 3 \times 3-80-(-48) }{ - \frac{ 3 }{ 4 } - \frac{ 16 }{ 2 } }$$

Evaluate

$$\frac{92}{35}\approx 2.628571429$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9-80-\left(-48\right)}{-\frac{3}{4}-\frac{16}{2}}$$

Subtract 80 from 9 to get -71.

$$\frac{-71-\left(-48\right)}{-\frac{3}{4}-\frac{16}{2}}$$

The opposite of -48 is 48.

$$\frac{-71+48}{-\frac{3}{4}-\frac{16}{2}}$$

Add -71 and 48 to get -23.

$$\frac{-23}{-\frac{3}{4}-\frac{16}{2}}$$

Divide 16 by 2 to get 8.

$$\frac{-23}{-\frac{3}{4}-8}$$

Convert 8 to fraction \frac{32}{4}.

$$\frac{-23}{-\frac{3}{4}-\frac{32}{4}}$$

Since -\frac{3}{4} and \frac{32}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-23}{\frac{-3-32}{4}}$$

Subtract 32 from -3 to get -35.

$$\frac{-23}{-\frac{35}{4}}$$

Divide -23 by -\frac{35}{4} by multiplying -23 by the reciprocal of -\frac{35}{4}.

$$-23\left(-\frac{4}{35}\right)$$

Express -23\left(-\frac{4}{35}\right) as a single fraction.

$$\frac{-23\left(-4\right)}{35}$$

Multiply -23 and -4 to get 92.

$$\frac{92}{35}$$

Factor

$$\frac{2 ^ {2} \cdot 23}{5 \cdot 7} = 2\frac{22}{35} = 2.6285714285714286$$