Solve 45-5+(8*3)div(44-6*4-27

$$45-5+(8 \times 3) \div (44-6 \times 4-27$$

Evaluate

$$\frac{256}{7}\approx 36.571428571$$

Solution Steps

Subtract 5 from 45 to get 40.

$$40+\frac{8\times 3}{44-6\times 4-27}$$

Multiply 8 and 3 to get 24.

$$40+\frac{24}{44-6\times 4-27}$$

Multiply 6 and 4 to get 24.

$$40+\frac{24}{44-24-27}$$

Subtract 24 from 44 to get 20.

$$40+\frac{24}{20-27}$$

Subtract 27 from 20 to get -7.

$$40+\frac{24}{-7}$$

Fraction \frac{24}{-7} can be rewritten as -\frac{24}{7} by extracting the negative sign.

$$40-\frac{24}{7}$$

Convert 40 to fraction \frac{280}{7}.

$$\frac{280}{7}-\frac{24}{7}$$

Since \frac{280}{7} and \frac{24}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{280-24}{7}$$

Subtract 24 from 280 to get 256.

$$\frac{256}{7}$$

Factor

$$\frac{2 ^ {8}}{7} = 36\frac{4}{7} = 36.57142857142857$$